259 citations · 1.5k across the 55 of their papers we have counts for
57 papers
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…
Large deviations of spectral determinants of matrix-valued random Schrödinger operators and Dyson Brownian motion in cubic potentials
Yan Fyodorov, Pierre Le Doussal, Alexander Ossipov
We study the moments of and the associated large deviations of where are random matrix operators involving Laplace operators and r…
Dynamic scaling of growing interfaces
Pierre Le Doussal
We give a brief overview of the seminal paper which introduced the Kardar-Parisi-Zhang equation as a paradigmatic model for random growth in 1986. We describe some of the developme…
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…