Diffusion with Stochastic Resetting

Abstract

We study simple diffusion where a particle stochastically resets to its initial position at a constant rate r. A finite resetting rate leads to a nonequilibrium stationary state with non-Gaussian fluctuations for the particle position. We also show that the mean time to find a stationary target by a diffusive searcher is finite and has a minimum value at an optimal resetting rate r^*. Resetting also alters fundamentally the late time decay of the survival probability of a stationary target when there are multiple searchers: while the typical survival probability decays exponentially with time, the average decays as a power law with an exponent depending continuously on the density of searchers.

4 pages revtex, 1 .eps figure included

Cited by in corpus (415)

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• First order transition for the optimal search time of Lévy flights with resetting
• Optimal stochastic restart renders fluctuations in first passage times universal
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• Optimal mean first-passage time for a Brownian searcher subjected to resetting: experimental and theoretical results
• Diffusion with resetting in arbitrary spatial dimension
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• Diffusion with stochastic resetting at power-law times
• Random walks with preferential relocations to places visited in the past and their application to biology
• Anomalous diffusion: A basic mechanism for the evolution of inhomogeneous systems
• The role of fractional time-derivative operators on anomalous diffusion
• Non-equilibrium steady states of stochastic processes with intermittent resetting
• Fluctuating interfaces subject to stochastic resetting
• First passage under stochastic resetting in an interval
• The Michaelis-Menten reaction scheme as a unified approach towards the optimal restart problem
• Optimal first arrival times in Lévy flights with resetting
• Entanglement Transitions from Stochastic Resetting of Non-Hermitian Quasiparticles
• Stochastic resetting: A (very) brief review
• Optimal diffusive search: nonequilibrium resetting versus equilibrium dynamics
• First passages in bounded domains: When is the mean first passage time meaningful?
• Non-equilibrium chromosome looping via molecular slip-links
• First passages for a search by a swarm of independent random searchers
• Stochastic Search with Poisson and Deterministic Resetting
• Strong defocusing of molecular reaction times results from an interplay of geometry and reaction control
• Search with home returns provides advantage under high uncertainty
• Monotonous continuous-time random walks with drift and stochastic reset events
• Large deviations for Markov processes with resetting
• Restart could optimize the probability of success in a Bernoulli trial
• Resetting processes with non-instanteneous return
• Jamming and Attraction of Interacting Run-and-Tumble Random Walkers
• Effects of refractory period on stochastic resetting
• The inspection paradox in stochastic resetting
• Scaled Brownian motion with renewal resetting
• First passage of a particle in a potential under stochastic resetting: a vanishing transition of optimal resetting rate
• Work fluctuations and Jarzynski equality in stochastic resetting
• Quantum dynamics with stochastic reset
• Statistical mechanics of the coagulation-diffusion process with a stochastic reset
• Péclet number governs transition to acceleratory restart in drift-diffusion
• Diffusion with resetting in a logarithmic potential
• Optimization in First-Passage Resetting
• Landau theory of restart transitions
• Random walks on networks with stochastic resetting
• First passage under restart with branching
• Integral Fluctuation Theorems for Stochastic Resetting Systems
• Random walk with random resetting to the maximum
• Localization transition induced by learning in random searches
• Symmetric Exclusion Process under Stochastic Resetting
• Non-renewal resetting of scaled Brownian motion
• Effect of Partial Absorption on Diffusion with Resetting
• Phase transitions in optimal search times: how random walkers should combine resetting and flight scales
• Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
• Diffusion with stochastic resetting is invariant to return speed
• Stochastic resetting with stochastic returns using external trap
• Ising model with stochastic resetting
• Transport properties and first arrival statistics of random searches with stochastic reset times
• Run-and-Tumble particles in Two-dimensions under Stochastic Resetting
• Spectral properties of simple classical and quantum reset processes
• Transport properties of random walks under stochastic non-instantaneous resetting
• First passage under restart for discrete space and time: application to one dimensional confined lattice random walks
• Geometric Brownian Motion under Stochastic Resetting: A Stationary yet Non-ergodic Process
• Active Brownian Motion in two-dimensions under Stochastic Resetting
• Invariants of motion with stochastic resetting and space-time coupled returns
• On subdiffusive continuous time random walks with stochastic resetting
• Sisyphus random walk
• Stochastic resetting in underdamped Brownian motion
• Restart expedites quantum walk hitting times
• Properties of additive functionals of Brownian motion with resetting
• Long time scaling behaviour for diffusion with resetting and memory
• Spectral content of fractional Brownian motion with stochastic reset
• Continuous-time random walks with reset events: Historical background and new perspectives
• Intermittent resetting potentials
• Extreme statistics and spacing distribution in a Brownian gas correlated by resetting
• Stochastic resetting in interacting particle systems: A review
• Mean first passage time of active Brownian particle in one dimension
• From single-particle stochastic kinetics to macroscopic reaction rates: fastest first-passage time of $N$ random walkers
• Brownian motion under intermittent harmonic potentials
• Thermodynamic uncertainty relation for systems with unidirectional transitions
• Extremal statistics for stochastic resetting systems
• Stochastic resetting by a random amplitude
• Interacting Brownian Motion with Resetting
• Income inequality and mobility in geometric Brownian motion with stochastic resetting: theoretical results and empirical evidence of non-ergodicity
• Occupation time of a run-and-tumble particle with resetting
• Local time of diffusion with stochastic resetting
• Entropy production in systems with unidirectional transitions
• Phase transitions in large deviations of reset processes
• Stochastic processes subject to a reset-and-residence mechanism: transport properties and first arrival statistics
• Space-dependent diffusion with stochastic resetting: A first-passage study
• Mean perimeter and area of the convex hull of a planar Brownian motion in the presence of resetting
• Record statistics for random walks and Lévy flights with resetting
• Random acceleration process under stochastic resetting
• Stochastic resetting on comb-like structures
• Diffusion with Resetting Inside a Circle
• Resetting with stochastic return through linear confining potential
• Solvable random walk model with memory and its relations with Markovian models of anomalous diffusion
• A continuous-time Ehrenfest model with catastrophes and its jump-diffusion approximation
• Distribution of the time of the maximum for stationary processes
• Continuous time random walks under power-law resetting
• First Passage Times for a Tracer Particle in Single File Diffusion and Fractional Brownian Motion
• Diffusive transport on networks with stochastic resetting to multiple nodes
• Survival of a static target in a gas of diffusing particles with exclusion
• The cost of stochastic resetting
• Efficiency fluctuations and noise induced refrigerator-to-heater transition in information engines
• First-passage Brownian functionals with stochastic resetting
• Linking lineage and population observables in biological branching processes
• Random coefficient autoregressive processes describe Brownian yet non-Gaussian diffusion in heterogeneous systems
• Survival probability of an immobile target in a sea of evanescent diffusive or subdiffusive traps: a fractional equation approach
• Diffusion with Partial Resetting
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• Entanglement Dynamics in Monitored Systems and the Role of Quantum Jumps
• Resetting of fluctuating interfaces at power-law times
• Diffusion-mediated surface reactions and stochastic resetting
• Lotka-Volterra systems with stochastic resetting
• First passage in the presence of stochastic resetting and a potential barrier
• Anderson-like localization transition of random walks with resetting
• Persistence-Speed Coupling Enhances the Search Efficiency of Migrating Immune Cells
• Comparison of two models of tethered motion
• Speedups in nonequilibrium thermal relaxation: Mpemba and related effects
• Mean-performance of sharp restart I: Statistical roadmap
• Phase transition in non-Markovian animal exploration model with preferential returns
• Diffusion processes with Gamma-distributed resetting and non-instantaneous returns
• Diffusive search for a stochastically-gated target with resetting
• Slow Lévy flights
• Exact Distributions of Currents and Frenesy for Markov Bridges
• Synchronization in the Kuramoto model in presence of stochastic resetting
• Mitigating long queues and waiting times with service resetting
• Resetting transition is governed by an interplay between thermal and potential energy
• Diffusion with Local Resetting and Exclusion
• Random walks on complex networks with first-passage resetting
• Controlling particle currents with evaporation and resetting from an interval
• Asymmetric Stochastic Resetting: Modeling Catastrophic Events
• Mitigating long transient time in deterministic systems by resetting
• Preface: New trends in first-passage methods and applications in the life sciences and engineering
• Universal framework for record ages under restart
• Time to reach the maximum for a stationary stochastic process
• Thermodynamic cost of finite-time stochastic resetting
• Discrete space-time resetting model: Application to first-passage and transmission statistics
• Work fluctuations for diffusion dynamics submitted to stochastic return
• Transient anomalous diffusion in heterogeneous media with stochastic resetting
• Fick-Jacobs description and first passage dynamics for diffusion in a channel under stochastic resetting
• Emergent quantum correlations and collective behavior in non-interacting quantum systems subject to stochastic resetting
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• Condensation transition in large deviations of self-similar Gaussian processes with stochastic resetting
• From classical to quantum walks with stochastic resetting on networks
• Reducing mean first passage times with intermittent confining potentials: a realization of resetting processes
• Ornstein-Uhlenbeck process and generalizations: particle's dynamics under comb constraints and stochastic resetting
• Optimization of random search processes in the presence of an external bias
• Quantum unitary evolution interspersed with repeated non-unitary interactions at random times: The method of stochastic Liouville equation, and two examples of interactions in the context of a tight-binding chain
• Non-equilibrium thermodynamics of diffusion in fluctuating potentials
• Brownian motion under non-instantaneous resetting in higher dimensions
• A probabilistic model of diffusion through a semi-permeable barrier
• Tighter thermodynamic bound on speed limit in systems with unidirectional transitions
• Exact extreme, order and sum statistics in a class of strongly correlated system
• Stochastic dynamics with multiplicative dichotomic noise: heterogeneous telegrapher's equation, anomalous crossovers and resetting
• First detection probability in quantum resetting via random projective measurements
• Random walks on complex networks under node-dependent stochastic resetting
• Robust random search with scale-free stochastic resetting
• Fractional Laplacians in bounded domains: Killed, reflected, censored and taboo Lévy flights
• Anomalous diffusion in random-walks with memory-induced relocations
• First passage of a diffusing particle under stochastic resetting in bounded domains with spherical symmetry
• Correlations in multithermostat Brownian systems with Lorentz force
• Thermodynamic work of partial resetting
• Restart uncertainty relation for monitored quantum dynamics
• Depletion of Resources by a Population of Diffusing Species
• Optimization and Growth in First-Passage Resetting
• Random walks with preferential relocations and fading memory: a study through random recursive trees
• Resetting mediated navigation of active Brownian searcher in a homogeneous topography
• Random walks on complex networks under time-dependent stochastic resetting
• A Unified Approach to Gated Reactions on Networks
• General approach to stochastic resetting
• The distribution of path lengths of self avoiding walks on Erdős-Rényi networks
• Generating Entanglement by Quantum Resetting
• Dynamical phase transition in the first-passage probability of a Brownian motion
• Brownian motion surviving in the unstable cubic potential and the role of Maxwell's demon
• Quantum resetting in continuous measurement induced dynamics of a qubit
• Optimal tuning of a confined Brownian information engine
• First passage time and information of a one-dimensional Brownian particle with stochastic resetting to random positions
• Unusual stationary state in Brownian systems with Lorentz force
• Dynamically emergent correlations between particles in a switching harmonic trap
• Analysis of English free association network reveals mechanisms of efficient solution of Remote Association Tests
• Optimality of spatially inhomogeneous search strategies
• Rate enhancement of gated drift-diffusion process by optimal resetting
• Maximum and records of random walks with stochastic resetting
• Current fluctuations in stochastically resetting particle systems
• Spectral fingerprints of non-equilibrium dynamics: The case of a Brownian gyrator
• First-passage functionals for Ornstein Uhlenbeck process with stochastic resetting
• Drift-diffusion on a Cayley tree with stochastic resetting: the localization-delocalization transition
• Catching and reversing quantum jumps and thermodynamics of quantum trajectories
• The induced motion of a probe coupled to a bath with random resettings
• Diffusion with two resetting points
• Accumulation time of stochastic processes with resetting
• Instability in the quantum restart problem
• Random walks on complex networks with multiple resetting nodes: a renewal approach
• Dynamics of closed quantum systems under stochastic resetting
• Zero-current Nonequilibrium State in Symmetric Exclusion Process with Dichotomous Stochastic Resetting
• Critical number of walkers for diffusive search processes with resetting
• Encounter-based approach to diffusion with resetting
• Thermodynamic uncertainty for run-and-tumble type processes
• Random walks with stochastic resetting in complex networks: a discrete time approach
• Median and Mode in First Passage under Restart
• Mean-performance of Sharp Restart II: Inequality Roadmap
• Optimal mean first-passage time of a run-and-tumble particle in a class of one-dimensional confining potentials
• Non-linear diffusion with stochastic resetting
• Kuramoto model subject to subsystem resetting: How resetting a part of the system may synchronize the whole of it
• A large deviation perspective on ratio observables in reset processes: robustness of rate functions
• Stochastic resetting in the Kramers problem: A Monte Carlo approach
• Effect of tax dynamics on linearly growing processes under stochastic resetting: a possible economic model
• Fat Tails and Black Swans: Exact Results for Multiplicative Processes with Resets
• Theoretical approaches to the steady-state statistical physics of interacting dissipative units
• Striking universalities in stochastic resetting processes
• Role of dimensions in first passage of a diffusing particle under stochastic resetting and attractive bias
• Motion of a Brownian molecule in the presence of reactive boundaries
• Tail-behavior roadmap for sharp restart
• Expediting Feller process with stochastic resetting
• Joint statistics of space and time exploration of $1d$ random walks
• Discrete-time random walks and Lévy flights on arbitrary networks: when resetting becomes advantageous?
• The distribution of first hitting times of random walks on Erdős-Rényi networks
• Run-and-tumble particle in one-dimensional potentials: mean first-passage time and applications
• Twitching Motility of Bacteria with Type IV Pili: Fractal Walks, First passage time and their Consequences on Microcolonies
• Tight-binding model subject to conditional resets at random times
• Entanglement Transition due to particle losses in a monitored fermionic chain
• Fluctuations and first-passage properties of systems of Brownian particles with reset
• Dynamically emergent correlations in bosons via quantum resetting
• Relating absorbing and hard wall boundary conditions for a one-dimensional run-and-tumble particle
• Learning how to find targets in the micro-world: The case of intermittent active Brownian particles
• Random Search with Memory in Patchy Media: Exploration-Exploitation Tradeoff
• Stochastic resetting and first arrival subjected to Gaussian noise and Poisson white noise
• Capture of a diffusing lamb by a diffusing lion when both return home
• Effect of stochastic resetting on Brownian motion with stochastic diffusion coefficient
• Searching for clusters of targets under stochastic resetting
• Aggregation with constant kernel under stochastic resetting
• Optimal potentials for diffusive search strategies
• Branching processes with resetting as a model for cell division
• Perturbation Analysis of Quantum Reset Models
• Non-Analytic Non-Equilibrium Field Theory: Stochastic Reheating of the Ising Model
• Optimal search in E.coli chemotaxis
• Lévy flights and Lévy walks under stochastic resetting
• Resetting by rescaling: exact results for a diffusing particle in one-dimension
• Autonomous Ratcheting by Stochastic Resetting
• Controlling Uncertainty of Empirical First-Passage Times in the Small-Sample Regime
• Extremal statistics for a resetting Brownian motion before its first-passage time
• Freezing transitions of Brownian particles in confining potentials
• Analytical results for the distribution of cover times of random walks on random regular graphs
• Non-Gaussianity and Dynamical Trapping in Locally Activated Random Walks
• Asymptotic analysis and simulation of mean first passage time for active Brownian particles in 1-D
• Optimal Measurement Protocols in Quantum Zeno Effect
• First detection of threshold crossing events under intermittent sensing
• Optimizing Leapover Lengths of Lévy Flights with Resetting
• Effects of mortality on stochastic search processes with resetting
• Search with stochastic home-returns can expedite classical first passage under resetting
• Stochastic resetting in discrete-time quantum dynamics: steady states and correlations in few-qubit systems
• Numerical analysis of homogeneous and inhomogeneous intermittent search strategies
• Biased random walk on random networks in presence of stochastic resetting: Exact results
• Analytical results for the distribution of first hitting times of random walks on random regular graphs
• Measurement-induced resetting in open quantum systems
• Entropy rate of random walks on complex networks under stochastic resetting
• Random acceleration process on finite intervals under stochastic restarting
• Stochastic resetting with refractory periods: pathway formulation and exact results
• Runtime Distributions and Criteria for Restarts
• Comparing the roles of time overhead and spatial dimensions on optimal resetting rate vanishing transitions, in Brownian processes with potential bias and stochastic resetting
• First passage in discrete-time absorbing Markov chains under stochastic resetting
• Optimal conditions for first passage of jump processes with resetting
• Efficiency of a microscopic heat engine subjected to stochastic resetting
• Dichotomous flow with thermal diffusion and stochastic resetting
• The distribution of first hitting times of non-backtracking random walks on Erdős-Rényi networks
• Target Search Optimization by Threshold Resetting
• Resonances of recurrence time of monitored quantum walks
• Queues with resetting: a perspective
• Causality, localization, and universality of monitored quantum walks with long-range hopping
• Manipulating phases in many-body interacting systems with subsystem resetting
• Large Deviations in Switching Diffusion: from Free Cumulants to Dynamical Transitions
• Diffusion in a partially absorbing medium with position and occupation time resetting
• Stochastic resetting of a population of random walks with resetting-rate-dependent diffusivity
• Optimal resetting strategies for search processes in heterogeneous environments
• Active particle in a harmonic trap driven by a resetting noise: an approach via Kesten variables
• Extremal statistics for a one-dimensional Brownian motion with a reflective boundary
• Quest for optimal quantum resetting: protocols for a particle on a chain
• Stochastic resetting prevails over sharp restart for broad target distributions
• Exact calculation of the mean first-passage time of continuous-time random walks by nonhomogeneous Wiener-Hopf integral equations
• Survival probability of random walks and Lévy flights with stochastic resetting
• Random resetting in search problems
• Designing Autonomous Maxwell Demon via Stochastic Resetting
• Universal performance bounds of restart
• Exact solution for a sample space reducing stochastic process
• Optimization of escape kinetics by reflecting and resetting
• Asymmetric Exclusion Process with Global Hopping
• Dynamically emergent correlations in Brownian particles subject to simultaneous non-Poissonian resetting protocols
• Propagator for a driven Brownian particle in step potentials
• Partial versus total resetting for Lévy flights in d dimensions: similarities and discrepancies
• Optimizing the random search of a finite-lived target by a Lévy flight
• Random search with resetting in heterogeneous environments
• Diffusion with stochastic resetting screened by a semipermeable interface
• Nonequilibrium steady state of Brownian motion in an intermittent potential
• Symmetric Exclusion Process under Stochastic Power-law Resetting
• Convergence of Rain Process Models to Point Processes
• Non-homogeneous random walks with stochastic resetting: an application to the Gillis model
• Entropy of Sharp Restart
• Ratchet-mediated resetting: Current, efficiency, and exact solution
• Power-law relaxation of a confined diffusing particle subject to resetting with memory
• The cost of resetting discrete-time random walks
• Emerging cost-time Pareto front for diffusion with stochastic return
• Cross-over between diffusion-limited and reaction-limited regimes in the coagulation-diffusion process
• Control of spatiotemporal chaos by stochastic resetting
• First-passage properties of the jump process with a drift. Two exactly solvable cases
• Second harmonic generation as a minimal model of turbulence
• Mean first passage time of active fluctuating membrane with stochastic resetting
• Survival probability and position distribution of a run and tumble particle in $U(x)=\alpha |x|$ potential with an absorbing boundary
• Stochastic resetting in a networked multiparticle system with correlated transitions
• Multifractality in monitored single-particle dynamics
• Accelerated first detection in discrete-time quantum walks using sharp restarts
• Jump Processes with Deterministic and Stochastic Controls
• Drift-diffusive resetting search process with stochastic returns: speed-up beyond optimal instantaneous return
• Adaptive active Brownian particles searching for targets of unknown positions
• Crossover from Anomalous to Normal Diffusion: Ising Model with Stochastic Resetting
• Continuous Gated First-Passage Processes
• Active Brownian particle under stochastic position and orientation resetting in a harmonic trap
• Surprising variants of Cauchy's formula for mean chord length
• Unexpected advantages of exploitation for target searches in complex networks
• Jump Locations of Jump-Diffusion Processes with State-Dependent Rates
• Competition in a system of Brownian particles: Encouraging achievers
• Simulating the Spread of Infection in Networks with Quantum Computers
• Mean first-encounter times of simultaneous random walkers with resetting on networks
• Optimal mean first-passage time of a Brownian searcher with resetting in one and two dimensions: Experiments, theory and numerical tests
• Stochastic resetting in a nonequilibrium environment
• Siegmund duality for physicists: a bridge between spatial and first-passage properties of continuous and discrete time stochastic processes
• Optimal switching strategies for navigation in stochastic settings
• Discrete scaling and criticality in a chain of adaptive excitable integrators
• Conditioned backward and forward times of diffusion with stochastic resetting: a renewal theory approach
• Stochastically switching diffusion with partially reactive surfaces
• Sign-changes as a universal concept in first-passage time calculations
• Autocorrelation functions and ergodicity in diffusion with stochastic resetting
• Resetting induced multimodality
• Stochastic Resetting Mitigates Latent Gradient Bias of SGD from Label Noise
• Universal criterion for selective outcomes under stochastic resetting
• Stationary-state dynamics of interacting phase oscillators in presence of noise and stochastic resetting
• Diffusion with stochastic resetting on a lattice
• Emerging correlations between diffusing particles evolving via simultaneous resetting with memory
• Persistent search in confined domains: a velocity-jump process model
• The Pólya and Sisyphus lattice random walks with resetting -- a first passage under restart approach
• First Passage with Restart in Discrete Time: with applications to biased random walks on the half-line
• Continuous-Time Multi-Armed Bandits with Controlled Restarts
• Unified approach to reset processes and application to coupling between process and reset
• Resetting photons
• The joint distribution of first return times and of the number of distinct sites visited by a 1D random walk before returning to the origin
• Analytic and Monte Carlo Approximations to the Distribution of the First Passage Time of the Drifted Diffusion with Stochastic Resetting and Mixed Boundary Conditions
• Exact Entanglement Dynamics of Two Spins in Finite Baths
• Target search by active particles
• Semi-Markov Processes in Open Quantum Systems. II. Counting Statistics with Resetting
• Stochastic 1D search-and-capture as a G/M/c queueing model
• Diffusion with preferential relocation in a confining potential
• Mutual Linearity is a Generic Property of Steady-State Markov Networks
• Local resetting with geometric confinement
• Bounding energy growth in friction-less stochastic oscillators
• Role of long jumps in Lévy noise induced multimodality
• Search of stochastically gated targets with diffusive particles under resetting
• Proxitaxis: an adaptive search strategy based on proximity and stochastic resetting
• Full Record Statistics of 1d Random Walks
• Localization of information driven by stochastic resetting
• An exactly solvable predator prey model with resetting
• Exact fluctuation and long-range correlations in a single-file model under resetting
• Arcsine laws for Brownian motion with Poissonian resetting
• Spikes in Poissonian quantum trajectories
• The distribution of the maximum of independent resetting Brownian motions
• Concentration of Empirical First-Passage Times
• Run-and-tumble particles on a line with a fertile site
• Asymptotic limits of transient patterns in a continuous-space interacting particle system
• First-passage properties of the jump process with a drift. The general case
• Stationary state of harmonic chains driven by boundary resetting
• First-Passage-Driven Boundary Recession
• Inertial Lévy flights in bounded domains
• Gaussian Process and Levy Walk under Stochastic Non-instantaneous Resetting and Stochastic Rest
• Winding number of a Brownian particle on a ring under stochastic resetting
• Abrupt transitions in the optimization of diffusion with distributed resetting
• Ising Model with Power Law Resetting
• Physics of free climbing
• The one-dimensional telegraphic process with noninstantaneous stochastic resetting
• Thermodynamics of quantum-jump trajectories of open quantum systems subject to stochastic resetting
• Extreme value statistics in a continuous time branching process: a pedagogical primer
• Thermodynamic Cost of Random-Time Protocols
• Evanescent random walker on networks: Hitting times, budget renewal, and survival dynamics
• Experimental evidence for strong emergent correlations between particles in a switching trap
• Universal Linear Response of First-Passage Kinetics: A Framework for Prediction and Inference
• First passage time in space-dependent stochastic resetting
• Optimal detection of quantum states via projective measurements
• Nonequilibrium statistics of barrier crossings with competing pathways
• Chaotic resetting: A resetting strategy for deterministic chaotic systems
• Semi-Markovian switching in a fluctuating harmonic trap: An age-structured formulation
• Fluctuations in first passage times and utility of resetting protocol in biochemical systems with two-state toggling
• Poissonian resetting of subdiffusion in a linear potential
• Local large deviation principle for Wiener process with random resetting
• Non-standard diffusion under Markovian resetting in bounded domains
• Designing non-equilibrium states of quantum matter through stochastic resetting
• Inducing and optimizing Markovian Mpemba effect with stochastic reset
• Interplay of noise induced stability and stochastic resetting
• Large time probability of failure in diffusive search with resetting in arbitrary dimension--a functional analytic approach
• First-order condensation transition in the position distribution of a run-and-tumble particle in one dimension
• Synchronization transition in ensemble of coupled phase oscillators with coherence-induced phase correction
• Stochastic dynamics of two-step processes with harmonic potential
• An encounter-based approach for restricted diffusion with a gradient drift
• Interaction-free ergodicity-breaking driven by temporally hyperuniform noise
• Accumulation time of diffusion in a 2D singularly perturbed domain
• Density-dependent stochastic resetting: a large deviations framework for achieving target distributions over networks
• Optimal switching strategies in multi-drug therapies for chronic diseases
• How target distributions shape optimal stochastic resetting
• Critical habitat size of organisms diffusing with stochastic resetting