259 citations · 1.5k across the 55 of their papers we have counts for
23 papers · 1 filter
Partial Localization and Multifractality in Heterogeneous Population Growth with Resetting
Maximilien Bernard, Giuseppe Del Vecchio Del Vecchio, Jean-Philippe Bouchaud +1
We study a model of heterogeneous multiplicative growth with mean-field redistribution and independent local stochastic resetting. The model describes populations or wealth distrib…
Bayesian Monitoring of a Diffusive Particle in One Dimension
Federico Gerbino, Guido Giachetti, Pierre Le Doussal +1
We study the Bayesian monitoring of a single particle diffusing along a line, while an observer tracks it continuously using noisy measurements at each spatial point. The average S…
Random walks in Dirichlet random environment in dimension
Guillaume Barraquand, Alexander K. Hartmann, Pierre Le Doussal
The atypical behaviour of random walks in time-dependent random environment was recently related to Kardar-Parisi-Zhang (KPZ) growth. While this is now well-understood in spatial d…
Mesoscopic fluctuation theory of particle systems driven by Poisson noise: study of the -TASEP
Alexandre Krajenbrink, Pierre Le Doussal
We pursue our study of integrable weak noise theories of directed polymer and interacting particle stochastic models in the 1D KPZ universality class. Here we focus on the -TASE…
Integrability and exact large deviations of the weakly-asymmetric exclusion process
Alexandre Krajenbrink, Pierre Le Doussal
The weakly asymmetric exclusion process (WASEP) in one dimension is a paradigmatic system of interacting particles described by the macroscopic fluctuation theory (MFT) in the pres…
Run-and-tumble particles with 1D Coulomb interaction: the active jellium model and the non-reciprocal self-gravitating gas
Léo Touzo, Pierre Le Doussal
Recently we studied run-and-tumble particles in one dimension - which switch with rate between driving velocities - interacting via the long range 1D Coulomb pote…
A stationary model of non-intersecting directed polymers
Guillaume Barraquand, Pierre Le Doussal
We consider the partition function of non-intersecting continuous directed polymers of length in dimension , in a white noise env…
More on the Brownian force model: avalanche shapes, tip driven, higher
Pierre Le Doussal
The Brownian force model (BFM) is the mean-field model for the avalanches of an elastic interface slowly driven in a random medium. It describes the spatio-temporal statistics of t…
Wigner function for noninteracting fermions in hard wall potentials
Benjamin De Bruyne, David S. Dean, Pierre Le Doussal +2
The Wigner function is a useful quantity to characterize the quantum fluctuations of an -body system in its phase space. Here we study $W_N({\bf x}, {\bf…
Impurities in systems of noninteracting trapped fermions
David S. Dean, Pierre Le Doussal, Satya N. Majumdar +1
We study the properties of spin-less non-interacting fermions trapped in a confining potential in one dimension but in the presence of one or more impurities which are modelled by…
Noninteracting trapped Fermions in double-well potentials: inverted parabola kernel
Naftali R. Smith, David S. Dean, Pierre Le Doussal +2
We study a system of noninteracting spinless fermions in a confining, double-well potential in one dimension. When the Fermi energy is close to the value of the potential at it…
Delta-Bose gas on a half-line and the KPZ equation: boundary bound states and unbinding transitions
Jacopo De Nardis, Alexandre Krajenbrink, Pierre Le Doussal +1
We revisit the Lieb-Liniger model for bosons in one dimension with attractive delta interaction in a half-space with diagonal boundary conditions. This model is…
Replica Bethe Ansatz solution to the Kardar-Parisi-Zhang equation on the half-line
Alexandre Krajenbrink, Pierre Le Doussal
We consider the Kardar-Parisi-Zhang (KPZ) equation for the stochastic growth of an interface of height on the positive half line with boundary condition $\partial_x h(x,t)…
Nonequilibrium dynamics of noninteracting fermions in a trap
David S. Dean, Pierre Le Doussal, Satya N. Majumdar +1
We consider the real time dynamics of noninteracting fermions in . They evolve in a trapping potential , starting from the equilibrium state in a potential .…
Noninteracting fermions in a trap and random matrix theory
David S. Dean, Pierre Le Doussal, Satya N. Majumdar +1
We review recent advances in the theory of trapped fermions using techniques borrowed from random matrix theory (RMT) and, more generally, from the theory of determinantal point pr…
Wigner function of noninteracting trapped fermions
David S. Dean, P. Le Doussal, Satya N. Majumdar +1
We study analytically the Wigner function of noninteracting fermions trapped in a smooth confining potential in dimensions. At zero temp…
Statistics of the maximal distance and momentum in a trapped Fermi gas at low temperature
David S. Dean, Pierre Le Doussal, Satya N. Majumdar +1
We consider non-interacting fermions in an isotropic -dimensional harmonic trap. We compute analytically the cumulative distribution of the maximal radial distance of the fe…
Non-interacting fermions at finite temperature in a -dimensional trap: universal correlations
David S. Dean, Pierre Le Doussal, Satya N. Majumdar +1
We study a system of non-interacting spin-less fermions trapped in a confining potential, in arbitrary dimensions and arbitrary temperature . The presence of the trap in…
Universal ground state properties of free fermions in a -dimensional trap
David S. Dean, Pierre Le Doussal, Satya N. Majumdar +1
The ground state properties of spinless free fermions in a -dimensional confining potential are studied. We find that any -point correlation function has a simple determi…
Exact form of the exponential correlation function in the glassy super-rough phase
Pierre Le Doussal, Zoran Ristivojevic, Kay Jörg Wiese
We consider the random-phase sine-Gordon model in two dimensions. It describes two-dimensional elastic systems with random periodic disorder, such as pinned flux-line arrays, rando…
Shock statistics in higher-dimensional Burgers turbulence
Pierre Le Doussal, Alberto Rosso, Kay Jörg Wiese
We conjecture the exact shock statistics in the inviscid decaying Burgers equation in D>1 dimensions, with a special class of correlated initial velocities, which reduce to Brownia…
Time evolution of 1D gapless models from a domain-wall initial state: SLE continued?
Pasquale Calabrese, Christian Hagendorf, Pierre Le Doussal
We study the time evolution of quantum one-dimensional gapless systems evolving from initial states with a domain-wall. We generalize the path-integral imaginary time approach that…
Electromagnetic Coulomb Gas with Vector Charges and "Elastic'' Potentials : Renormalization Group Equations
David Carpentier, Pierre Le Doussal
We present a detailed derivation of the renormalization group equations for two dimensional electromagnetic Coulomb gases whose charges lie on a triangular lattice (magnetic charge…