Author

G. Schehr

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Preprint Oct 2026

Linear statistics in the Coulomb gas: cumulants beyond rotational invariance

We consider a classical Coulomb gas of $N$ particles in dimension $d\geq2$, confined by a general external potential $U$ in the large-$N$ limit. In that limit the density of particles has a compact support called the droplet. We study smooth linear statistics ${\mathcal L}_N=\sum_{i=1}^N f({\bf x}_i)$ at large $N$. Whi...

Paul Bourgade, P. Le Doussal, G. Schehr · 0 citations

Preprint Oct 2026

Large Deviations in Switching Diffusion: Dynamical Condensation and Diffusivity BBP Transition

We consider a Brownian particle with position $x(t)$ whose diffusivity changes at Poissonian switching times, with each new value drawn independently from a bounded distribution $W(D)$. Assuming $W(D)\sim C(D_{\max}-D)^\nu$ near its upper edge, we study the large-deviation regime $x(t)\simeq yt$ with $y = O(1)$ at larg...

Mathis Gueneau, Timo Schorlepp, S. Majumdar et al. · 0 citations