The large deviation approach to statistical mechanics

Abstract

The theory of large deviations is concerned with the exponential decay of probabilities of large fluctuations in random systems. These probabilities are important in many fields of study, including statistics, finance, and engineering, as they often yield valuable information about the large fluctuations of a random system around its most probable state or trajectory. In the context of equilibrium statistical mechanics, the theory of large deviations provides exponential-order estimates of probabilities that refine and generalize Einstein's theory of fluctuations. This review explores this and other connections between large deviation theory and statistical mechanics, in an effort to show that the mathematical language of statistical mechanics is the language of large deviation theory. The first part of the review presents the basics of large deviation theory, and works out many of its classical applications related to sums of random variables and Markov processes. The second part goes through many problems and results of statistical mechanics, and shows how these can be formulated and derived within the context of large deviation theory. The problems and results treated cover a wide range of physical systems, including equilibrium many-particle systems, noise-perturbed dynamics, nonequilibrium systems, as well as multifractals, disordered systems, and chaotic systems. This review also covers many fundamental aspects of statistical mechanics, such as the derivation of variational principles characterizing equilibrium and nonequilibrium states, the breaking of the Legendre transform for nonconcave entropies, and the characterization of nonequilibrium fluctuations through fluctuation relations.

v1: 89 pages, 18 figures, pdflatex. v2: 95 pages, 20 figures, text, figures and appendices added, many references cut, close to published version

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• Sanov and Central Limit Theorems for output statistics of quantum Markov chains
• E. Schrödinger's 1931 paper "On the Reversal of the Laws of Nature" ["Über die Umkehrung der Naturgesetze",Sitzungsberichte der preussischen Akademie der Wissenschaften, physikalische mathematische Klasse, 8 N9 144-153]
• Mathematical, Thermodynamical, and Experimental Necessity for Coarse Graining Empirical Densities and Currents in Continuous Space
• Phases of quantum dimers from ensembles of classical stochastic trajectories
• Stochastic efficiency of an isothermal work-to-work converter engine
• Anomalous nonequilibrium current fluctuations in the Heisenberg model
• Distribution of current fluctuations in a bistable conductor
• Exact large deviation function of spin current for the one dimensional XX spin chain with domain wall initial condition
• The underdamped Brownian duet and stochastic linear irreversible thermodynamics
• Large-deviations for spatial diffusion of cold atoms
• Nonequilibrium steady states in contact: Approximate thermodynamic structure and zero-th law for driven lattice gases
• Dispersion in the large-deviation regime. Part I: shear flows and periodic flows
• Giant leaps and long excursions: fluctuation mechanisms in systems with long-range memory
• Extreme Current Fluctuations in a Nonstationary Stochastic Heat Flow
• Thermodynamic uncertainty relation to assess biological processes
• Optimal sampling of dynamical large deviations via matrix product states
• Emergent second law for non-equilibrium steady states
• Thermodynamic formalism for dissipative quantum walks
• Work fluctuations for a Brownian particle driven by a correlated external random force
• Large deviations in the presence of cooperativity and slow dynamics
• Transport coefficients for a confined Brownian ratchet operating between two heat reservoirs
• Analytical Mechanics in Stochastic Dynamics: Most Probable Path, Large-Deviation Rate Function and Hamilton-Jacobi Equation
• Nonequilibrium diffusion processes via non-Hermitian electromagnetic quantum mechanics with application to the statistics of entropy production in the Brownian gyrator
• Kinetic theory of nonequilibrium stochastic long-range systems: Phase transition and bistability
• Large Deviations for dynamical fluctuations of Open Markov processes, with application to random cascades on trees
• Waiting time distribution revealing the internal spin dynamics in a double quantum dot
• Entropy production and its large deviations in an active lattice gas
• Fine-structured large deviations and the fluctuation theorem: Molecular motors and beyond
• Higher Order Spin Noise Statistics
• Weak-noise limit of a piecewise-smooth stochastic differential equation
• Statistical mechanics of the 3D axi-symmetric Euler equations in a Taylor-Couette geometry
• Statistical mechanics of systems with long-range interactions and negative absolute temperature
• Full counting statistics approach to the quantum non-equilibrium Landauer bound
• Exact quench dynamics of the Floquet quantum East model at the deterministic point
• Large Deviations in the Early Universe
• A Large Deviation Theory-based Analysis of Heat Waves and Cold Spells in a Simplified Model of the General Circulation of the Atmosphere
• Anomalous dynamical scaling determines universal critical singularities
• Statistics of work distribution in periodically driven closed quantum systems
• Large deviations theory for noisy non-linear electronics: CMOS inverter as a case study
• Nonequilibrium thermodynamics of the asymmetric Sherrington-Kirkpatrick model
• Direct evaluation of dynamical large-deviation rate functions using a variational ansatz
• Inelastic thermoelectric transport and fluctuations in mesoscopic system
• Computation of extremes values of time averaged observables in climate models with large deviation techniques
• Evolutionary reinforcement learning of dynamical large deviations
• Heat fluctuations in a harmonic chain of active particles
• Role of current fluctuations in nonreversible samplers
• Space-time Phase Transitions in Driven Kinetically Constrained Lattice Models
• Lee-Yang theory of the Curie-Weiss model and its rare fluctuations
• Statistical distribution of the Wigner-Smith time-delay matrix moments for chaotic cavities
• Diffusion in nonuniform temperature and its geometric analog
• Thermodynamics of quantum jump trajectories in systems driven by classical fluctuations
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
• Exponential volume dependence of entropy-current fluctuations at first-order phase transitions in chemical reaction networks
• Quantum work statistics and resource theories: bridging the gap through Renyi divergences
• Isometric fluctuation relations for equilibrium states with broken symmetry
• A large deviation principle linking lineage statistics to fitness in microbial populations
• Optimal sampling of dynamical large deviations in two dimensions via tensor networks
• Random walkers with extreme value memory: modelling the peak-end rule
• The grand canonical catastrophe as an instance of condensation of fluctuations
• Dynamical large deviations of two-dimensional kinetically constrained models using a neural-network state ansatz
• Coarse Graining Empirical Densities and Currents in Continuous-Space Steady States
• Revisiting the Ruelle thermodynamic formalism for Markov trajectories with application to the glassy phase of random trap models
• Large deviations, condensation, and giant response in a statistical system
• Symmetry relation for multifractal spectra at random critical points
• Stepping and crowding of molecular motors: statistical kinetics from an exclusion process perspective
• Finite-Time and -Size Scalings in the Evaluation of Large Deviation Functions: Numerical Approach in Continuous Time
• Kahler-Einstein metrics emerging from free fermions and statistical mechanics
• On the work distribution in quasi-static processes
• Socio-economic utility and chemical potential
• Ritz method for transition paths and quasipotentials of rare diffusive events
• Stochastic thermodynamics of periodically driven systems: Fluctuation theorem for currents and unification of two classes
• Methods and Conversations in (Post)Modern Thermodynamics
• Transport Coefficients from Large Deviation Functions
• Trajectory phase transitions and dynamical Lee-Yang zeros of the Glauber-Ising chain
• Lee-Yang theory of criticality in interacting quantum many-body systems
• Inference of Markov models from trajectories via Large Deviations at Level 2.5 with applications to random walks in disordered media
• Large deviations and optimal control forces for hard particles in one dimension
• Efficient characterisation of large deviations using population dynamics
• Large deviations in chaotic systems: exact results and dynamical phase transition
• Statistical physics of long dynamical trajectories for a system in contact with several thermal reservoirs
• Asymptotics of work distributions in a stochastically driven system
• Heat fluctuations of Brownian oscillators in nonstationary processes: fluctuation theorem and condensation transition
• Large-deviation properties of resilience of transportation networks
• Fluctuation theorem for heat transport probed by a thermal electrode
• Studying rare nonadiabatic dynamics with transition path sampling quantum jump trajectories
• Group entropies: from phase space geometry to entropy functionals via group theory
• Large deviations at various levels for run-and-tumble processes with space-dependent velocities and space-dependent switching rates
• Slow dynamics and large deviations in classical stochastic Fredkin chains
• Landau theory for finite-time dynamical phase transitions
• Instanton based importance sampling for rare events in stochastic PDEs
• Universal singularities of anomalous diffusion in the Richardson class
• Hidden scale invariance of intermittent turbulence in a shell model
• Entropy production in the non-equilibrium steady states of interacting many-body systems
• Thermodynamics is more powerful than the role to it reserved by Boltzmann-Gibbs statistical mechanics
• Work fluctuations of self-propelled particles in the phase separated state
• Effective Hamiltonians and Lagrangians for conditioned Markov processes at large volume
• Glassy dynamics due to a trajectory phase transition in dissipative Rydberg gases
• Approach of complexity in nature: Entropic nonuniqueness
• Fisher information from stochastic quantum measurements
• Stochastic quantum Zeno-based detection of noise correlations
• Fluctuation relations for anisotropic systems
• Large Deviation in Continuous Time Random Walks
• Blowup as a driving mechanism of turbulence in shell models
• Full counting statistics in the many-body Hatano-Nelson model
• Nonequilibrium Phase Transition To Temporal Oscillations In Mean-Field Spin Models
• Weak additivity principle for current statistics in d-dimensions
• Thermodynamics of quantum trajectories on a quantum computer
• Constructing effective free energies for dynamical quantum phase transitions in the transverse-field Ising chain
• Effects of noise-induced coherence on the fluctuations of current in quantum absorption refrigerators
• Emergence of a bicritical end point in the random crystal field Blume-Capel model
• Frequency-dependent current noise in quantum heat transfer with full counting statistics
• Minimum Action Path theory reveals the details of stochastic biochemical transitions out of oscillatory cellular states
• Geometrical Interpretation of Dynamical Phase Transitions in Boundary Driven Systems
• Spontaneous Symmetry Breaking for Extreme Vorticity and Strain in the 3D Navier-Stokes Equations
• Ergodicity in randomly perturbed quantum systems
• Roles of Dry Friction in Fluctuating Motion of Adiabatic Piston
• Euler-scale dynamical fluctuations in non-equilibrium interacting integrable systems
• Random transitions described by the stochastic Smoluchowski-Poisson system and by the stochastic Keller-Segel model
• A generic map from non-Lindblad to Lindblad master equations
• Entropy production and the geometry of dissipative evolution equations
• Computing the quasipotential for nongradient SDEs in 3D
• Nonequilibrium transport and statistics of Schwinger pair production in Weyl semimetals
• A statistical mechanics approach to mixing in stratified fluids
• Large deviations for the Skew-Detailed-Balance Lifted-Markov processes to sample the equilibrium distribution of the Curie-Weiss model
• Quantum return probability of a system of $N$ non-interacting lattice fermions
• Fluctuation relations for equilibrium states with broken discrete symmetries
• Fluctuation relations without uniform large deviations
• Rare events in stochastic processes with sub-exponential distributions and the Big Jump principle
• Jump-Drift and Jump-Diffusion Processes : Large Deviations for the density, the current and the jump-flow and for the excursions between jumps
• Quantum random walk and tight-binding model subject to projective measurements at random times
• Time-averaged height distribution of the Kardar-Parisi-Zhang interface
• Fluctuations in interacting particle systems with memory
• Generalized optimal paths and weight distributions revealed through the large deviations of random walks on networks
• Universal energy-accuracy tradeoffs in nonequilibrium cellular sensing
• Large deviations in models of growing clusters with symmetry-breaking transitions
• Discontinuous phase transition from ferromagnetic to oscillating states in a nonequilibrium mean-field spin model
• Current fluctuations in nonequilibrium discontinuous phase transitions
• Degree of coupling and efficiency of energy converters far-from-equilibrium
• Intrinsic and extrinsic thermodynamics for stochastic population processes with multi-level large-deviation structure
• Catching and reversing quantum jumps and thermodynamics of quantum trajectories
• Models with short and long-range interactions: phase diagram and reentrant phase
• Nonequilibrium thermodynamic potentials for continuous-time Markov chains
• A large deviation theory perspective on nanoscale transport phenomena
• Extreme events in stochastic transport on networks
• A generalized fluctuation relation for power-law distributions
• Quantum fluctuations in modulated nonlinear oscillators
• Large Deviations of Convex Hulls of Self-Avoiding Random Walks
• Conditioned diffusion processes with an absorbing boundary condition for finite or infinite horizon
• Bose--Einstein Condensation in the Large Deviations Regime with Applications to Information System Models
• Multifractality of random eigenfunctions and generalization of Jarzynski equality
• Efficiency large deviation function of quantum heat engines
• Entanglement statistics in Markovian open quantum systems: a matter of mutation and selection
• Thermodynamics of a stochastic twin elevator
• Symmetries and zero modes in sample path large deviations
• Real-Space Renormalization for disordered systems at the level of Large Deviations
• Large deviations in the symmetric simple exclusion process with slow boundaries
• Anomalous dynamical large deviations of local empirical densities and activities in the pure and in the random kinetically-constrained East Model
• Comment on "Towards a large deviation theory for strongly correlated systems"
• Large deviations for metastable states of Markov processes with absorbing states with applications to population models in stable or randomly switching environment
• Large Deviations Approach to Random Recurrent Neuronal Networks: Parameter Inference and Fluctuation-Induced Transitions
• Noise correction of large deviations with anomalous scaling
• Large deviations theory approach to cosmic shear calculations: the one-point aperture mass
• Structure of inactive states of a binary Lennard-Jones mixture
• Quantum transport of double quantum dots coupled to an oscillator in arbitrary strong coupling regime
• Being Heterogeneous Is Advantageous: Extreme Brownian Non-Gaussian Searches
• Work Extraction from a Single Energy Eigenstate
• Collapse of transitional wall turbulence captured using a rare events algorithm
• Diverging fluctuations of the Lyapunov exponents
• Efficiency of one-dimensional active transport conditioned on motility
• Large Deviations Beyond the Kibble-Zurek Mechanism
• Current fluctuations at a phase transition
• Extreme value theory for constrained physical systems
• Instantons in a Lagrangian model of turbulence
• A Deep Learning Functional Estimator of Optimal Dynamics for Sampling Large Deviations
• Large deviation theory for diluted Wishart random matrices
• Statistical Hypothesis Testing Based on Machine Learning: Large Deviations Analysis
• Physical interpretation of the canonical ensemble for long-range interacting systems in the absence of ensemble equivalence
• Tricritical behavior in dynamical phase transitions
• Rare-Event Properties of the Nagel-Schreckenberg Model
• Error-speed correlations in biopolymer synthesis
• Thermodynamic uncertainty for run-and-tumble type processes
• Exact statistics and thermodynamic uncertainty relations for a periodically driven electron pump
• Entropy production and fluctuation relations for a KPZ interface
• Large deviations and heterogeneities in a driven kinetically constrained model
• Geometrical interpretation of fluctuating hydrodynamics in diffusive systems
• Large fluctuations in diffusion-controlled absorption
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Geometric phaselike effects in a quantum heat engine
• Large deviations of the length of the longest increasing subsequence of random permutations and random walks
• Dynamical coexistence in moderately polydisperse hard-sphere glasses
• Higher-Order Photon Statistics as a New Tool to Reveal Hidden Excited States in a Plasmonic Cavity
• Probability distribution functions of sub- and super-diffusive systems
• Equilibrium Fluctuations in Mean-field Disordered Models
• Graph-combinatorial approach for large deviations of Markov chains
• Instantons for rare events in heavy-tailed distributions
• Interaction signatures and non-Gaussian photon states from a strongly driven atomic ensemble coupled to a nanophotonic waveguide
• Gradient and GENERIC evolution towards reduced dynamics
• A large deviation perspective on ratio observables in reset processes: robustness of rate functions
• The Probability Distribution of Astrophysical Gravitational-Wave Background Fluctuations
• A comparison of dynamical fluctuations of biased diffusion and run-and-tumble dynamics in one dimension
• Self-consistent formulations for stochastic nonlinear neuronal dynamics
• Optimization of quantized charge pumping using full counting statistics
• Nonequilibrium thermodynamics and information theory: Basic concepts and relaxing dynamics
• Additivity, density fluctuations, and nonequilibrium thermodynamics for active Brownian particles
• Efficiency fluctuations of small machines with unknown losses
• The effects of intrinsic noise on the behaviour of bistable cell regulatory systems under quasi-steady state conditions
• Full counting statistics of information content in the presence of Coulomb interaction
• Dynamical heterogeneities in a two dimensional driven glassy model: current fluctuations and finite size effects
• Duality and fluctuation relations for statistics of currents on cyclic graphs
• Matching between typical fluctuations and large deviations in disordered systems : application to the statistics of the ground state energy in the SK spin-glass model
• Self-Averaging Property of Minimal Investment Risk of Mean-Variance Model
• Nonequilibrium steady state of trapped active particles
• Energy and Heat Fluctuations in a Temperature Quench
• The kinetic exclusion process: a tale of two fields
• Top Eigenpair Statistics for Weighted Sparse Graphs
• Localization of disordered bosons and magnets in random fields
• Large Deviations in Renewal Models of Statistical Mechanics
• Dynamical phase transition in the occupation fraction statistics for non-crossing Brownian particles
• Time-dependence of the holographic spectral function: Diverse routes to thermalisation
• Coupled activity-current fluctuations in open quantum systems under strong symmetries
• Zon-Cohen singularity and negative inverse temperature in a trapped particle limit
• Thermodynamic Control of Activity Patterns in Cytoskeletal Networks
• Heat fluctuations for underdamped Langevin dynamics
• Large Deviations of Correlation Functions in Random Magnets
• A framework for the direct evaluation of large deviations in non-Markovian processes
• Large deviations principles for symplectic discretizations of stochastic linear Schrödinger Equation
• Linear response in large deviations theory: A method to compute non-equilibrium distributions
• Thermodynamic bounds on equilibrium fluctuations of a global or local order parameter
• Importance of Small Probability Events in Big Data: Information Measures, Applications, and Challenges
• Hidden scale invariance of turbulence in a shell model: from forcing to dissipation scales
• Active Random Walks in One and Two Dimensions
• Experimental measurement of relative path probabilities and stochastic actions
• Application of importance sampling to the computation of large deviations in non-equilibrium processes
• Growth and dissolution of macromolecular Markov chains
• Possible thermodynamic structure underlying the laws of Zipf and Benford
• First-order phase transitions from poles in asymptotic representations of partition functions
• Development and regression of a large fluctuation
• Phase-Sensitive Quantum Measurement without Controlled Operations
• Efficiency fluctuations in cyclic machines
• Mechanism of dynamical phase transitions: The complex-time survival amplitude
• Heterogeneity-induced large deviations in activity and (in some cases) entropy production
• Convex Hulls of Random Walks in Higher Dimensions: A Large Deviation Study
• Large deviations and chemical potential in bulk-driven systems in contact
• Joint statistics of quantum transport in chaotic cavities
• Dispersion for Two Classes of Random Variables: General Theory and Application to Inference of an External Ligand Concentration by a Cell
• Dynamical Quantum Phase Transitions of Quantum Spin Chains with the Loschmidt-rate Critical Exponent equal to $\frac{1}{2}$
• Concavity, Response Functions and Replica Energy
• Stochastic gene expression conditioned on large deviations
• Universal scaling of Green's functions in disordered non-Hermitian systems
• Convex Hulls of Multiple Random Walks: A Large-Deviation Study
• Derivation of Stokes' Law from Kirkwood's Formula and the Green-Kubo Formula via Large Deviation Theory
• Analysis of the Correlation Dimension for Inertial Particles
• Work Fluctuations in the Active Ornstein- Uhlenbeck Particle model
• Higher-order Efficiency Bound and Its Application to Nonlinear Nano-thermoelectrics
• Spatial fluctuation theorem
• Thermodynamics of trajectories of a quantum harmonic oscillator coupled to $N$ baths
• Thermodynamic formalism and linear response theory for non-equilibrium steady states
• Non equivalence of dynamical ensembles and emergent non ergodicity
• Dynamical criticality in open systems: non-perturbative physics, microscopic origin and direct observation
• Geometric effects in non-equilibrium electron transfer statistics in adiabatically driven quantum junctions
• Emergence and Breaking of Duality Symmetry in Generalized Fundamental Thermodynamic Relations
• Absence of first order transition in the random crystal field Blume-Capel model on a fully connected graph
• Branching States as The Emergent Structure of a Quantum Universe
• Large deviations in Taylor dispersion
• Structure of the condensed phase in the inclusion process
• Reduction from non-Markovian to Markovian dynamics: The case of aging in the noisy-voter model
• Occupation time statistics of a gas of interacting diffusing particles
• A Volterra-series approach to stochastic nonlinear dynamics: The Duffing oscillator driven by white noise
• The Vlasov continuum limit for the classical microcanonical ensemble
• Dispersion in rectangular networks: effective diffusivity and large-deviation rate function
• Kinematic Basis of Emergent Energetics of Complex Dynamics
• Joint distribution of currents in the symmetric exclusion process
• Biased ensembles of pulsating active matter
• Stochastic Floquet quantum heat engines and stochastic efficiencies
• Thermodynamics of histories for the one-dimensional contact process
• Connecting probability distributions of different operators and generalization of the Chernoff-Hoeffding inequality
• Autonomous quantum clocks using athermal resources
• Computing time-periodic steady-state currents via the time evolution of tensor network states
• Modeling of biomolecular machines in non-equilibrium steady states
• Anatomy of the eigenstates distribution: a quest for a genuine multifractality
• Current correlations, Drude weights and large deviations in a box-ball system
• Statistical mechanics of two-dimensional point vortices: relaxation equations and strong mixing limit
• The Measure-theoretic Identity Underlying Transient Fluctuation Theorems
• Enhancing noise-induced switching times in systems with distributed delays
• Temporally correlated zero-range process with open boundaries: Steady state and fluctuations
• On the geometry of chemical reaction networks: Lyapunov function and large deviations
• Fluctuations and correlations in nonequilibrium systems
• Saddle avoidance of noise-induced transitions in multiscale systems
• Probability distributions with singularities
• On large deviation properties of Brownian motion with dry friction
• Large deviations of a long-time average in the Ehrenfest Urn Model
• Constructing Auxiliary Dynamics for Nonequilibrium Stationary States by Variance Minimization
• Thermodynamics of trajectories and local fluctuation theorems for harmonic quantum networks
• Cycle counts and affinities in stochastic models of non-equilibrium systems
• Exact pre-transition effects in kinetically constrained circuits: dynamical fluctuations in the Floquet-East model
• Fluctuations in the two-dimensional one-component plasma and associated fourth-order phase transition
• On the symmetry of current probability distributions in jump processes
• Extinctions of coupled populations, and rare-event dynamics under non-Gaussian noise
• Universal Excursion and Bridge shapes in ABBM/CIR/Bessel processes
• Non-equilibrium Lyapunov function and a fluctuation relation for stochastic systems: Poisson representation approach
• A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes
• Thermodynamics of trajectories of the one-dimensional Ising model
• Stochastic limit-cycle oscillations of a nonlinear system under random perturbations
• Efficiency bounds for nonequilibrium heat engines
• Thermodynamic uncertainty relation for Langevin dynamics by scaling time
• An Optimal Control Method to Compute the Most Likely Transition Path for Stochastic Dynamical Systems with Jumps
• Varied phenomenology of models displaying dynamical large-deviation singularities
• Beat of a current
• Macroscopic fluctuations of a driven tracer in the symmetric exclusion process
• Being heterogeneous is disadvantageous: Brownian non-Gaussian searches
• Orientational alignment in Cavity Quantum Electrodynamics
• BEST statistics of Markovian fluxes: a tale of Eulerian tours and Fermionic ghosts
• Local time of a system of Brownian particles on the line with steplike initial condition
• Large deviations of the stochastic area for linear diffusions
• Statistics of the dissipated energy in driven diffusive systems
• Fluctuation Theorems for Entropy Production and Heat Dissipation in Periodically Driven Markov Chains
• Sampling rare fluctuations of discrete-time Markov chains
• Methods for calculating nonconcave entropies
• Nonequilibrium statistical mechanics of shear flow: invariant quantities and current relations
• Monotonicity and Condensation in Homogeneous Stochastic Particle Systems
• Equilibrium statistical mechanics and energy partition for the shallow water model
• Large Deviations and Fluctuation Theorem for the Quantum Heat Current
• Conditioning diffusion processes with killing rates
• Absence of dissipation in trajectory ensembles biased by currents
• Melting of an Ising Quadrant
• Additivity property and emergence of power laws in nonequilibrium steady states
• $N$-tag Probability Law of the Symmetric Exclusion Process
• Conditioned random walks and interaction-driven condensation
• Quantum critical temperature of a modulated oscillator
• Rate dependence of current and fluctuations in jump models with negative differential mobility
• Asymmetry of steady state current fluctuations in nonequilibrium systems
• An ordered set of power-efficiency trade-offs
• Strong Disorder Renewal Approach to DNA denaturation and wetting : typical and large deviation properties of the free energy
• Caustics in turbulent aerosols form along the Vieillefosse line at weak particle inertia
• Symmetry-induced fluctuation relations for dynamical observables irrespective of their behaviour under time-reversal
• Lower current large deviations for zero-range processes on a ring
• Microcanonical conditioning of Markov processes on time-additive observables
• Confined run and tumble particles with non-Markovian tumbling statistics
• Accurately approximating extreme value statistics
• A Monte Carlo algorithm to measure probabilities of rare events in cluster-cluster aggregation
• Anomalous scalings of fluctuations of the area swept by a Brownian particle trapped in a $|x|$ potential
• Dynamical phase transition to localized states in the two-dimensional random walk conditioned on partial currents
• A dynamical transition and metastability in a size-dependent zero-range process
• Current inversion in a periodically driven two-dimensional Brownian ratchet
• On the motion of kinesin in a viscoelastic medium
• Dispersion in the large-deviation regime. Part II: cellular flow at large Péclet number
• Localisation in space and time in disordered-lattice open quantum dynamics
• Solution of the random field $XY$ magnet on a fully connected graph
• Fluctuations around equilibrium laws in ergodic continuous-time random walks
• Occupation time of a system of Brownian particles on the line with steplike initial condition
• Thermodynamics of exponential Kolmogorov-Nagumo averages
• Linearization effect in multifractal analysis: Insights from the Random Energy Model
• Large deviations for the Pearson family of ergodic diffusion processes involving a quadratic diffusion coefficient and a linear force
• Universal behavior of the full particle statistics of one-dimensional Coulomb gases with an arbitrary external potential
• The role of quantum work statistics in many-body physics
• Survival and extreme statistics of work, heat, and entropy production in steady-state heat engines
• Charge and spin current statistics of the open Hubbard model with weak coupling to the environment
• Dynamical fluctuations for periodically driven diffusions
• Conditional fluctuation theorems and entropy production for monitored quantum systems under imperfect detection
• Spectral signatures of symmetry-breaking dynamical phase transitions
• Biological implications of dynamical phases in non-equilibrium networks
• Asymptotics of the entropy production rate for $d$-dimensional Ornstein-Uhlenbeck processes
• Stochastic multi-scale models of competition within heterogeneous cellular populations: simulation methods and mean-field analysis
• Large rare fluctuations in systems with delayed dissipation
• Fluctuation relations for equilibrium states with broken discrete or continuous symmetries
• Random Transverse Field Spin-Glass Model on the Cayley tree : phase transition between the two Many-Body-Localized Phases
• Dynamical phase coexistence in the Fredrickson-Andersen model
• Fluctuation relations: a pedagogical overview
• Area fluctuations on a subinterval of Brownian excursion
• Waiting-times statistics in boundary driven free fermion chains
• Conditional reversibility in nonequilibrium stochastic systems
• Generalized Euler-Lotka equation for correlated cell divisions
• Large Deviation Analysis of Function Sensitivity in Random Deep Neural Networks
• Fluctuation theorem for entropy production of a partial system in the weak coupling limit
• Fluctuation relations with intermittent non-Gaussian variables
• Stochastic analysis of the time evolution of Laminar-Turbulent bands of plane Couette flow
• Microscopic biasing of discrete-time quantum trajectories
• Exact solution of the Rule 150 reversible cellular automaton
• Condensation of degrees emerging through a first-order phase transition in classical random graphs
• On Effective Stochastic Generators for Conditioned Dynamics at an Atypical Reaction-Diffusion Current
• Large deviations in statistics of the local time and occupation time for a run and tumble particle
• Integrability in the weak noise theory
• Non-equilibrium phase transitions in biomolecular signal transduction
• Semi-Markov processes in open quantum systems: Connections and applications in counting statistics
• An optimization-based equilibrium measure describes non-equilibrium steady state dynamics: application to edge of chaos
• Path probability distribution of stochastic motion of non dissipative systems: a classical analog of Feynman factor of path integral
• Entropy production and large deviation function for systems with microscopically irreversible transitions
• Efficient large deviation estimation based on importance sampling
• Critical heat current fluctuations in Curie-Weiss model in and out of equilibrium
• Delocalization-localization dynamical phase transition of random walks on graphs
• Markov trajectories : Microcanonical Ensembles based on empirical observables as compared to Canonical Ensembles based on Markov generators
• Fractal catastrophes
• Steady diffusion in a drift field: a comparison of large deviation techniques and multiple-scale analysis
• Finite-size and finite-time effects in large deviation functions near dynamical symmetry breaking transitions
• Dynamical heterogeneity and large deviations in the open quantum East glass model from tensor networks
• Exact Large Deviations of the Current in the Asymmetric Simple Exclusion Process with Open Boundaries
• Solitons in fluctuating hydrodynamics of diffusive processes
• Computing non-equilibrium trajectories by a deep learning approach
• Fitness response relation of a multi-type age-structured population dynamics
• Dynamical symmetries and crossovers in a three-spin system with collective dissipation
• Random paths and current fluctuations in nonequilibrium statistical mechanics
• Probing local equilibrium in nonequilibrium fluids
• Symmetry-induced fluctuation relations in open quantum systems
• Revisiting boundary-driven non-equilibrium Markov dynamics in arbitrary potentials via supersymmetric quantum mechanics and explicit large deviations at various levels
• Singularities in large deviations of work in quantum quenches
• Finding the effective dynamics to make rare events typical in chaotic maps
• Partial entropy production in heat transport
• Singular behavior of fluctuations in a relaxation process
• Approaching a large deviation theory for complex systems
• Mechanical and statistical study of the laminar hole formation in transitional plane Couette flow
• Spatial correlations, additivity and fluctuations in conserved-mass transport processes
• Local structure of current fluctuations in diffusive systems beyond one dimension
• Thermodynamics of trajectories of open quantum systems, step by step
• Effect of random field disorder on the first order transition in $p$-spin interaction model
• Quantum many-body spin ratchets
• A Data-Scalable Randomized Misfit Approach for Solving Large-Scale PDE-Constrained Inverse Problems
• Exact distribution for work and stochastic efficiency of an isothermal machine
• Force-dependent diffusion coefficient of molecular Brownian ratchets
• Length of adaptive walk on uncorrelated and correlated fitness landscapes
• Large Deviations Properties of Maximum Entropy Markov Chains from Spike Trains
• Tumbling of a Brownian particle in an extensional flow
• Stochastic Dynamics, Large Deviations Principle, and Non-equilibrium Thermodynamics
• Quantum jump statistics with a shifted jump operator in a chiral waveguide
• Integrability of two-species partially asymmetric exclusion processes
• Convergence of the Integral Fluctuation Theorem estimator for nonequilibrium Markov systems
• Dynamical signatures of discontinuous phase transitions: How phase coexistence determines exponential versus power-law scaling
• Applications of WKB and Fokker-Planck methods in analyzing population extinction driven by weak demographic fluctuations
• Adaptive power method for estimating large deviations in Markov chains
• Unified Linear Fluctuation-Response Theory Arbitrarily Far from Equilibrium
• Non-stationary dynamics and dissipative freezing in squeezed superradiance
• Field theories and quantum methods for stochastic reaction-diffusion systems
• An introduction to large deviations with applications in physics
• The explicit form of the rate function for semi-Markov processes and its contractions
• Current in a quantum driven thermostatted system with off-diagonal disorder
• Dynamical transitions in Markovian exciton transport
• How many longest increasing subsequences are there?
• Large Deviations in the Symmetric Simple Exclusion Process with Slow Boundaries: A Hydrodynamic Perspective
• Comparative Microscopic Study of Entropies and their Production
• Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation
• Phase behavior of correlated random copolymers
• Thermodynamics Beyond Molecules: Statistical Thermodynamics of Distributions
• Inhomogeneous asymmetric exclusion processes between two reservoirs : large deviations for the local empirical observables in the Mean-Field approximation
• Perspective on Physical Interpretations of Rényi Entropy in Statistical Mechanics
• Large Deviations in Switching Diffusion: from Free Cumulants to Dynamical Transitions
• Melancholia States of the Atlantic Meridional Overturning Circulation
• Large deviations of density fluctuations in the boundary driven Quantum Symmetric Simple Inclusion Process
• Dynamical fluctuations of random walks in higher-order networks
• The Markov Memory for Generating Rare Events
• Large Deviations, Central Limit and dynamical phase transitions in the atom maser
• Large deviations and conditioning for chaotic non-invertible deterministic maps: analysis via the forward deterministic dynamics and the backward stochastic dynamics
• Full counting statistics of information content
• Universality and Thermodynamics of Turbulence
• Dynamical large deviations of the fractional Ornstein-Uhlenbeck process
• Full expectation value statistics for randomly sampled pure states in high-dimensional quantum systems
• Exact nonequilibrium quantum observable statistics: A large-deviation approach
• Physics-informed graph neural networks enhance scalability of variational nonequilibrium optimal control
• New Understanding of the Bethe Approximation and the Replica Method
• A Worked Example of the Bayesian Mechanics of Classical Objects
• Convergent Chaos
• Large-deviations of the SIR model around the epidemic threshold
• Nonequilibrium transport and phase transitions in driven diffusion of interacting particles
• Scaling laws and bulk-boundary decoupling in heat flow
• Entropy production of active Brownian particles going from liquid to hexatic and solid phases
• Perturbative large deviation analysis of non-equilibrium dynamics
• Current fluctuations in boundary driven diffusive systems in different dimensions: a numerical study
• Lee-Yang theory of the superradiant phase transition in the open Dicke model
• Strong current response to slow modulation: a metabolic case-study
• Scaling functions for eigenstate entanglement crossovers in harmonic lattices
• Inverse Design of Non-Equilibrium Steady-States: A Large Deviation Approach
• Dynamical phase transitions in one-dimensional hard-particle systems
• Characterization and optimization of heat engines: Pareto-optimal fronts and universal features
• Two-scale large deviations for chemical reaction kinetics through second quantization path integral
• Exact results on the dynamics of the stochastic Floquet-East model
• Large deviations in statistics of the convex hull of passive and active particles: A theoretical study
• Typicality, entropy and the generalization of statistical mechanics
• Soliton gas of the integrable Boussinesq equation and its generalised hydrodynamics
• Full counting statistics of information content and particle number
• Critical Fluctuations at Finite-Time Dynamical Phase Transition
• Rare Events and Single Big Jump Effects in Ornstein-Uhlenbeck Processes
• Local time of an Ornstein-Uhlenbeck particle
• Interfacial and density fluctuations in a lattice model of motility-induced phase separation
• Dispersion of the time spent in a state: General expression for unicyclic model and dissipation-less precision
• Entropy production for partially observed harmonic systems
• The Statistical Foundation of Entropy in Extended Irreversible Thermodynamics
• Dynamical phase transitions for the activity biased Ising model in a magnetic field
• Phase diagram of the repulsive Blume-Emery-Griffiths model in the presence of external magnetic field on a complete graph
• Large Deviations Principles for Langevin Equations in Random Environment and Applications
• Non-equilibrium boundary driven quantum systems: models, methods and properties
• Nonequilibrium chemical potentials of steady-state lattice gas models in contact: A large-deviations approach
• Assembly of heteropolymers via a network of reaction coordinates
• Thermodynamic uncertainty relations in a linear system
• Tensor-Network Approaches to Counting Statistics for the Current in a Boundary-Driven Diffusive System
• Quantifying the lucky droplet model for rainfall
• On correlations and fluctuations of time-averaged densities and currents with general time-dependence
• String Method for Generalized Gradient Flows: Computation of Rare Events in Reversible Stochastic Processes
• Finite-time fluctuation theorem for diffusion-influenced surface reactions
• Caustic formation in a non-Gaussian model for turbulent aerosols
• Dynamical potentials for non-equilibrium quantum many-body phases
• Asymptotic equivalence of probability measures and stochastic processes
• Lagrangian stochastic integrals of motion in isotropic random flows
• Single-file dynamics with general charge measures
• Thermodynamics of chaotic relaxation processes
• Thermodynamic formalism for transport coefficients with an application to the shear modulus and shear viscosity
• The Griffiths phase and beyond: A large deviations study of the magnetic susceptibility of the two-dimensional bond-diluted Ising model
• Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP
• Photon counting statistics in Gaussian bosonic networks
• Universal and non-universal large deviations in critical systems
• Nonequilibrium steady state of Brownian motion in an intermittent potential
• Non-differentiability of the effective potential and the replica symmetry breaking in the random energy model
• First-passage properties of the jump process with a drift. Two exactly solvable cases
• Martingale approach for first-passage problems of time-additive observables in Markov processes
• Large deviation analysis of a simple information engine
• Entropy production rate in thermodynamically consistent flocks
• Meta-work and the analogous Jarzynski relation in ensembles of dynamical trajectories
• Particle current fluctuations in a variant of asymmetric Glauber model
• Time to absorption for a heterogeneous neutral competition model
• Persistent fluctuations of the swarm size of Brownian bees
• Large deviations of the free energy in the p-spin glass spherical model
• A giant disparity and a dynamical phase transition in large deviations of the time-averaged size of stochastic populations
• Broken Z2 symmetries and fluctuations in statistical mechanics
• Current loops and fluctuations in the zero-range process on a diamond lattice
• Fluctuation symmetry in a two-state Markov model
• Counting equilibria of large complex systems by instability index
• Symmetry shapes thermodynamics of macroscopic quantum systems
• Subexponentially growing Hilbert space and nonconcentrating distributions in a constrained spin model
• On the Hamiltonian structure of large deviations in stochastic hybrid systems
• Nonequilibrium grand-canonical ensemble built from a physical particle reservoir
• Full counting statistics of the currents through a Kitaev chain and the exchange fluctuation theorem
• Feynman-Kac theory of time-integrated functionals: Itô versus functional calculus
• Reaction-Path Statistical Mechanics of Enzymatic Kinetics
• Fluctuations and large deviations of Reynolds stresses in zonal jet dynamics
• Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation
• Internal Energy, Fundamental Thermodynamic Relation, and Gibbs' Ensemble Theory as Laws of Statistical Counting
• Fluctuation Theorem, non linear response and the regularity of time reversal symmetry
• Fluctuation Theorems for Heat exchanges between passive and active baths
• Emergent lifetime distribution from complex network systems aging
• Long-ranged correlations in large deviations of local clustering
• Thermodynamics of switching in multistable non-equilibrium systems
• Universal work statistics in long-range interacting quantum systems
• Numerical Aspects of Large Deviations
• Large Fluctuations in Locational Marginal Prices
• Exploring the non-equilibrium fluctuation relation for quantum mechanical tunneling of electrons across a modulating barrier
• Intrinsic Langevin dynamics of rigid inclusions on curved surfaces
• Structures of nonequilibrium fluctuations: dissipation and activity
• Inferring entropy production in many-body systems using nonequilibrium maximum entropy
• Symmetries and Geometrical Properties of Dynamical Fluctuations in Molecular Dynamics
• An interface phase transition induced by a driven line in 2D
• Space-time correlations in monitored kinetically constrained discrete-time quantum dynamics
• Fundamental Limits of PhaseMax for Phase Retrieval: A Replica Analysis
• Uniformity Transition for Ray Intensities in Random Media
• Specific behavior of one chaotic dynamics near the fine-structure constant
• Maximal dispersion of adaptive random walks
• Thermal Contact I : Symmetries ruled by Exchange Entropy Variations
• Representations and Divergences in the Space of Probability Measures and Stochastic Thermodynamics
• Bounds on skewness and kurtosis of steady state currents
• Yielding and large deviations in micellar gels: a model
• Probabilistic Models with Nonlocal Correlations: Numerical Evidence of q-Large Deviation Theory
• Full Counting Statistics and Fluctuation Theorem for the Currents in the Discrete Model of Feynman's Ratchet
• Triangular Constellations in Fractal Measures
• Explicit dynamical properties of the Pelikan random map in the chaotic region and at the intermittent critical point towards the non-chaotic region
• Counting statistics of photon emissions detected in non-Markovian environment
• An Introduction to Large Deviations and Equilibrium Statistical Mechanics for Turbulent Flows
• Additivity and density fluctuations in Vicsek-like models of self-propelled particles
• Finite size scaling for the Many-Body-Localization Transition : finite-size-pseudo-critical points of individual eigenstates
• Out of equilibrium mean field dynamics in the transverse field Ising model
• Shot noise multifractal model for turbulent pseudo-dissipation
• Large deviations at level 2.5 and for trajectories observables of diffusion processes : the missing parts with respect to their random-walks counterparts
• Matrix Product States for Interacting Particles without Hardcore Constraints
• Stochastic thermodynamics for Ising chain and symmetric exclusion process
• The Two-Particle Irreducible Effective Action for Classical Stochastic Processes
• Stochastic 3D Navier-Stokes equations with nonlinear damping: martingale solution, strong solution and small time large deviation principles
• Imitating non-equilibrium steady states using time-varying equilibrium force in many-body diffusive systems
• Glauber's Ising chain between two thermostats
• Monitored Fluctuating Hydrodynamics
• Current fluctuations of a self-interacting diffusion on a ring
• Large deviations of current for the symmetric simple exclusion process on a semi-infinite line, and on an infinite line with a slow bond
• Accelerated first-passage dynamics in a non-Markovian feedback Ornstein--Uhlenbeck process
• Finite size analysis of a double crossover in transitional wall turbulence
• Quantum thermostatted disordered systems and sensitivity under compression
• A note on Rényi's "record" problem and Engel's series
• Thermodynamic Formalism in Neuronal Dynamics and Spike Train Statistics
• Quasi-static decomposition and the Gibbs factorial in small thermodynamic system
• Thermodynamic bounds and symmetries in first-passage problems of fluctuating currents
• Noise as a resource
• Dynamical large deviations for an inhomogeneous wave kinetic theory: linear wave scattering by a random medium
• Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
• Trajectory phase transitions in non-interacting systems: all-to-all dynamics and the random energy model
• Current fluctuations in a stochastic system of classical particles with next-nearest-neighbor interactions
• Dynamics of fluctuations in the Gaussian model with conserved dynamics
• Counting metastable states in a kinetically constrained model using a patch repetition analysis
• Heat statistics in the relaxation process of the Edwards-Wilkinson elastic manifold
• Effective Affinity for Generic Currents in Markov Processes
• Large deviations for correlated random variables described by a matrix product ansatz
• Infinite family of universal profiles for heat current statistics in Fourier's law
• Coarse-graining via the fluctuation-dissipation theorem and large-deviation theory
• Correlation functions of the Bjorken flow in the holographic Schwinger-Keldysh approach
• On the Kemeny time for continuous-time reversible and irreversible Markov processes with applications to stochastic resetting and to conditioning towards forever-survival
• Multi-point nonequilibrium umbrella sampling and associated fluctuation relations
• Eikonal solutions for moment hierarchies of Chemical Reaction Networks in the limits of large particle number
• Large deviations in the alternating mass harmonic chain
• Full counting statistics and first-passage times in quantum Markovian processes: Ensemble relations, metastability, and fluctuation theorems
• Does rare, noise-induced, bypass transition in plane Couette flow bypass instantons ?
• Computational homogenization of heterogeneous media under dynamic loading
• Foundations of Stochastic Thermodynamics
• Measurement-feedback control of chiral photon emission from an atom chain into a nanofiber
• Large Deviations of the Finite-Time Magnetization of the Curie-Weiss Random Field Ising Model
• Nonlinear Stochastic Dynamics of Complex Systems, III: Noneqilibrium Thermodynamics of Self-Replication Kinetics
• Gamma Convergence Approach For The Large Deviations Of The Density In Systems Of Interacting Diffusion Processes
• Asymptotic work distributions in driven bistable systems
• $\alpha$-divergence derived as the generalized rate function in a power-law system
• Data-driven analysis of annual rain distributions
• Asymptotic Large Deviations of Counting Statistics in Open Quantum Systems
• Generalized free energy and excess/housekeeping decomposition in nonequilibrium systems: from large deviations to thermodynamic speed limits
• A Dean-Kawasaki equation for reaction diffusion systems driven by Poisson noise
• Statistical formulation of Onsager-Machlup variational principle
• A supersymmetric quantum perspective on the explicit large deviations for reversible Markov jump processes, with applications to pure and random spin chains
• Estimating large deviation rate functions
• What is a chemostat? Insights from hybrid dynamics and stochastic thermodynamics
• Extremal statistics for first-passage trajectories of drifted Brownian motion under stochastic resetting
• Optimal finite-differences discretization for the diffusion equation from the perspective of large-deviation theory
• Returns to the origin of the Pólya walk with stochastic resetting
• Large deviations for trajectory observables of diffusion processes in dimension $d>1$ in the double limit of large time and small diffusion coefficient
• Large-deviation properties of the extended Moran model
• Deep learning-based computational method for soft matter dynamics: Deep Onsager-Machlup method
• Stochastic Thermodynamics of Non-reciprocally Interacting Particles and Fields
• First-Passage-Time Asymmetry for Biased Run-and-Tumble Processes
• Semi-Markov Processes in Open Quantum Systems. II. Counting Statistics with Resetting
• Lecture notes on large deviations in non-equilibrium diffusive systems
• Repulsive particle interactions enable selective information processing at cellular interfaces
• Hydrodynamic fluctuations of stochastic charged cellular automata
• Rejection-free quantum Monte Carlo in continuous time from transition path sampling
• Epidemic extinction in a simplicial susceptible-infected-susceptible model
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model
• Onsager coefficients in a coupled-transport model displaying a condensation transition
• Systematic analysis of critical exponents in continuous dynamical phase transitions of weak noise theories
• Large deviations of spread measures for Gaussian matrices
• Distribution of population averaged observables in stochastic gene expression
• Large deviations of a random walk model with emerging territories
• Stochastic functionals and fluctuation theorem for the multi-kangaroo process
• Analytic approach for the number statistics of non-Hermitian random matrices
• Phase transitions in XY models with randomly oriented crystal fields
• Auxiliary open quantum system for the Floquet quantum master equation
• Aspects of the disordered harmonic chain
• Large deviations of connected components in the stochastic block model
• Time-reversal symmetric Crooks and Gallavotti-Cohen fluctuation relations in driven classical Markovian systems
• Partial equivalence of statistical ensembles in a simple spin model with discontinuous phase transitions
• Finite size corrections to the large deviation function of the density in the one dimensional symmetric simple exclusion process
• Ternary Representation of Stochastic Change and the Origin of Entropy and Its Fluctuations
• Particle current fluctuations in a particle-nonconserving process
• Optimal Control of Stochastic Magnetization Dynamics by Spin Current
• Statistical time-domain characterization of non-periodic optical clocks
• Effective Stochastic Generator with Site-dependent Interactions
• Large deviation and anomalous fluctuations scaling in degree assortativity on configuration networks
• Extreme-Value Statistics of Stochastic Transport Processes: Applications to Molecular Motors and Sports
• One-dimensional Particle Processes with Acceleration/Braking Asymmetry
• Large-time asymptotic of heavy tailed renewal processes
• Large Deviations in Weakly Interacting Fermions -- Generating Functions as Gaussian Berezin Integrals and Bounds on Large Pfaffians
• Rare-event trajectory ensemble approach to study dynamical phase transitions in the zero temperature Glauber model
• Heat fluctuations in the logarithm-harmonic potential
• Dynamics of a randomly kicked particle
• Cumulants of conserved charges in GGE and cumulants of total transport in GHD: exact summation of matrix elements?
• Large deviations of the greedy independent set algorithm on sparse random graphs
• Rare events statistics of random walks on networks: localization and other dynamical phase transitions
• Asymptotic Behavior of a Sequence of Conditional Probability Distributions and the Canonical Ensemble
• Log-stable law of energy dissipation as a framework of turbulence intermittency
• Numerical Estimation of the Current Large Deviation Function in the Asymmetric Simple Exclusion Process with Open Boundary Conditions
• Entropy as Noether charge for quasistatic gradient flow
• Metallic spin-glasses beyond mean-field: An approach to the impurity-concentration dependence of the freezing temperature
• Anomaly Detection for High-Dimensional Data Using Large Deviations Principle
• The Most Dispersed Subset of Random Points in ${\mathbb{R}}^d$
• Towards neural reinforcement learning for large deviations in nonequilibrium systems with memory
• Non-additive large deviations function for the particle densities of driven systems in contact
• Introduction to the Special Issue on the Statistical Mechanics of Climate
• Non-Thermal Einstein Relations
• Noise-induced switching from a symmetry-protected shallow metastable state
• Entropy of non-equilibrium stationary measures of boundary driven TASEP
• A pedestrian's approach to large deviations in semi-Markov processes with an application to entropy production
• Information Measure Similarity Theory: Message Importance Measure via Shannon Entropy
• On the existence of a glass transition in a Random Energy Model
• Effective bandwidth of non-Markovian packet traffic
• Thermal Contact. II. A Solvable Toy Model
• Thermodynamic symmetry resolved entanglement entropies in integrable systems
• Effective dynamics in an asymmetric death-branching process
• Synthetic Turbulence via an Instanton Gas Approximation
• Thermodynamic bound on current fluctuations in coherent conductors
• Stochastic modeling of gene expression: application of ensembles of trajectories
• Bohmian mechanics is not deterministic
• Remarkable similarities in distributions of dynamical observables in chaotic systems
• Fluctuations of TASEP on a ring in relaxation time scale
• Inverse problem in the conditioning of Markov processes on trajectory observables : what canonical conditionings can connect two given Markov generators ?
• Universal and non-universal signatures in the scaling functions of critical variables
• Enantiodromic effective generators of a Markov jump process with Gallavotti-Cohen symmetry
• Negative heat capacity for hot nuclei using formulation from the microcanonical ensemble INDRA Collaboration
• Stochastic and Quantum Dynamics of Repulsive Particles: from Random Matrix Theory to Trapped Fermions
• Understanding random-walk dynamical phase coexistence through waiting times
• Large-deviations approach to thermalization: the case of harmonic chains with conservative noise
• Statistical properties of speckle patterns for a random number of scatterers and nonuniform phase distributions
• Breakdown of the Finite-Time and -Population Scalings of the Large Deviation Function in the Large-Size Limit of a Contact Process
• Full distribution of the ground-state energy of potentials with weak disorder
• Towards a large deviation theory for statistical-mechanical complex systems
• Ensemble Equivalence for Counterion Condensation on a Two Dimensional Charged Disc
• Energy exchange statistics and fluctuation theorem for non-thermal asymptotic states
• Witnessing non-classicality through large deviations in quantum optics
• Deriving a kinetic uncertainty relation for piecewise deterministic processes: from classical to quantum
• Dynamical Phase Transitions, Caustics, and Quantum Dark Bands
• Thermodynamic inference in molecular motors: a Martingale approach
• Linear response of rotating and flattened stellar clusters: the oblate Kuzmin-Kutuzov Stäckel family
• Iterative control strategies for non-linear systems
• Large and moderate deviation principles for Engel continued fractions
• Markov spin models for image generation : explicit large deviations with respect to the number of pixels
• Subleading-order theory for condensation transitions in large deviations of sums of independent and identically distributed random variables
• Benford's Law from Turing Ensembles and Integer Partitions
• Thermodynamic large fluctuations from uniformized dynamics
• Large Deviations of Irreversible Processes
• Irreversibility of stochastic state transitions in Langevin systems with odd elasticity
• Path-reversal, Doi-Peliti generating functionals, and dualities between dynamics and inference for stochastic processes
• Fractal dimensions and trajectory crossings in correlated random walks
• Relating maximum entropy, resilient behavior and game-theoretic equilibrium feedback operators in multi-channel systems
• Renewal stochastic processes with correlated events. Phase transitions along time evolution
• Full-counting statistics of information content and heat quantity in the steady state and the optimum capacity
• Work fluctuations for a confined Brownian particle: the role of initial conditions
• Nonanalytic Landau functionals shaping the finite-size scaling of fluctuations and response functions in and out of equilibrium
• Geometrically Frustrated Systems which are as Singles Hotter Than in Company
• Singular behaviour of time-averaged stress fluctuations on surfaces
• Semi-Markovian Dynamics of a Self-Propelled Particle in a Confined Environment: A Large-Deviation Study
• Non-Markovian feedback control and acausality: an experimental study
• Beyond the Big Jump: A Perturbative Approach to Stretched-Exponential Processes
• A fluctuation theorem for Floquet quantum master equations
• Rare-event properties in a classical stochastic model describing the evolution of random unitary circuits
• Microscopic and macroscopic perspectives on stationary nonequilibrium states
• Noise-induced peak intensity fluctuations in class B laser systems
• Understanding the stochastic dynamics of sequential decision-making processes: A path-integral analysis of multi-armed bandits
• Self-interacting processes via Doob conditioning
• Large deviation of long time average for a stochastic process : an alternative method
• Dynamics of fluctuations in the Gaussian model with dissipative Langevin Dynamics
• Replica Analysis for Generalized Linear Regression with IID Row Prior
• Hyperuniformity in active fluids reshapes nucleation and capillary-wave dynamics
• Quasi-potentials in the Nonequilibrium Stationary States or a method to get explicit solutions of Hamilton-Jacobi equations
• Matrix approach to generalized ensemble theory for nonequilibrium discrete systems
• Steering Active-Colloid Assembly by Biasing Dissipation
• Structure of the optimal path to a fluctuation
• Stochastic dynamics from maximum entropy in action space
• A first passage problem for a Poisson counting process with a linear moving boundary
• Large Deviation Properties of Minimum Spanning Trees for Random Graphs
• Approximate Inertial Manifold Approach to Non-Equilibrium Thermodynamics
• Classification of diffusion processes in dimension $d$ via the Carleman approach with applications to models involving additive, multiplicative or square-root noises
• Giant Fluctuations in Self-Propelled Particles with Age-Dependent Switching
• A diagrammatic approach towards the thermodynamics of integrable systems
• Enzyme-driven phase separation
• Short-time large deviations of first-passage functionals for high-order stochastic processes
• Cavity Method: Message Passing from a Physics Perspective
• The extraordinary importance of self-avoiding behavior in two-dimensional polymers: Insights from large-deviation theory
• Distribution of a tagged particle position in the one-dimensional symmetric simple exclusion process with two-sided Bernoulli initial condition
• Maximal Minimal Spacing for Random Points
• On the entropy of equilibrium measures and game-theoretic equilibrium feedback operators in multi-channel dynamical systems
• Exact large deviations and emergent long-range correlations in sequential quantum East circuits
• Large Large deviations for spatial telecommunication systems: The boolean model
• Mechanical analysis of a dynamical phase transition for particles in a channel
• FKPP fronts in quenched random media
• Computing large deviation rate functions of entropy production for diffusion processes by an interacting particle method
• Fluctuation Relations associated to an arbitrary bijection in path space
• Large deviation estimates involving deformed exponential functions
• Dimensionality-induced dynamical phase transition in the large deviation of local time density for Brownian motion
• Anomalous fluctuations of renewal-reward processes with heavy-tailed distributions
• Effective dynamics of a conditioned generalized linear Glauber model
• Mapping current and activity fluctuations in exclusion processes: consequences and open questions
• Phase transitions in the Blume-Capel model with trimodal and Gaussian random fields
• Conditioning two diffusion processes with respect to their first-encounter properties
• Large Deviations in Renewal Theory and Renewal Models of Statistical Mechanics
• How do simple evolutionary strategies and investment optimizations affect ecological patterns? The case of generalized Taylor's Law
• Density-dependent stochastic resetting: a large deviations framework for achieving target distributions over networks
• Action Principle and Dynamic Ensemble Theory for Non-equilibrium Markov Chains
• Dynamical Phase Transitions and their Relation to Thermodynamic Glass Physics
• Asymmetric scaling in large deviations for rare values bigger or smaller than the typical value
• Counting statistics of energy transport across squeezed thermal reservoirs
• Minimax Optimal Estimation of Stability Under Distribution Shift
• Making rare events typical in $d$-dimensional chaotic maps
• Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems
• Unfolding recurrence by Green's functions for optimized reservoir computing
• Large deviations for stochastic models of two-dimensional second grade fluids
• Large Deviation Theory for Parameter Estimation in Simple Neuron Models
• Consistent expansion of the Langevin propagator with application to entropy production
• Microcanonical ensemble out of equilibrium
• One-particle engine with a porous piston
• Diffusion in arrays of obstacles: beyond homogenisation
• Current statistics and depinning transition for a one-dimensional Langevin process in the weak-noise limit
• Journey from the Wilson exact RG towards the Wegner-Morris Fokker-Planck RG and the Carosso field-coarsening via Langevin stochastic processes
• Anomalous finite-size scaling in higher-order processes with absorbing states
• Effective Langevin equations leading to large deviation function of time-averaged velocity for a nonequilibrium Rayleigh piston
• System-size independence of a large deviation function for frequency of events in a one-dimensional forest-fire model with a single ignition site
• Probability of a single current
• Extreme-Value Criticality and Gain Decomposition at the Integer Quantum Hall Transition
• Critical Fluctuations in Renewal Models of Statistical Mechanics
• Statistics of Thermal Avalanches in Driven Amorphous Systems
• Sampling rare trajectories using stochastic bridges
• Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting