54 citations · 147 across the 7 of their papers we have counts for
7 papers
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…
Condensation transition in the late-time position of a Run-and-Tumble particle
Francesco Mori, Pierre Le Doussal, Satya N. Majumdar +1
We study the position distribution of a run-and-tumble particle (RTP) in arbitrary dimension , after runs. We assume that the constant speed of the part…
Universal Properties of a Run-and-Tumble Particle in Arbitrary Dimension
Francesco Mori, Pierre Le Doussal, Satya N. Majumdar +1
We consider an active run-and-tumble particle (RTP) in dimensions, starting from the origin and evolving over a time interval . We examine three different models for the…
Statistics of extremes in eigenvalue-counting staircases
Yan V. Fyodorov, Pierre Le Doussal
We consider the number of eigenvalues of a random unitary matrix, drawn from CUE, in the interval . The deviations from its…