54 citations · 147 across the 7 of their papers we have counts for
3 papers · 1 filter
Linear statistics at the microscopic scale for the 2D Coulomb gas
Pierre Le Doussal, Gregory Schehr
We consider the classical Coulomb gas in two dimensions at the inverse temperature , confined within a droplet of radius by a rotationally invariant potential . For…
The stochastic porous medium equation in one dimension
Maximilien Bernard, Andrei A. Fedorenko, Pierre Le Doussal +1
We study the porous medium equation (PME) in one space dimension in presence of additive non-conservative white noise, and interpreted as a stochastic growth equation for the heigh…
Measurement-Induced Phase Transition in State Estimation of Chaotic Systems and the Directed Polymer
Federico Gerbino, Guido Giachetti, Pierre Le Doussal +1
We introduce a solvable model of a measurement-induced phase transition (MIPT) in a deterministic but chaotic dynamical system with a positive Lyapunov exponent. In this setup, an…