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19972026
most citedAnalysis of a Random Forests Model

678 citations

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math.PR2025

CLT for -ensembles with Freud weights, application to the KLS conjecture in Schatten balls

Charlie Dworaczek Guera, Ronan Memin, Michel Pain

In this paper, we are interested in the -ensembles (or 1D log-gas) with Freud weights, namely with a potential of the form with . Since this potential is not…

math.PR2025

On the spectral radius of the ratio of Girko matrices

Djalil Chafaï, David García-Zelada, Yuan Yuan Xu

Girko matrices have independent and identically distributed entries of mean zero and unit variance. In this note, we consider the random matrix model formed by the ratio of two ind…

math.PR2025

The height of the infection tree

Emmanuel Kammerer, Igor Kortchemski, Delphin Sénizergues

We are interested in the geometry of the ``infection tree'' in a stochastic SIR (Susceptible-Infectious-Recovered) model, starting with a single infectious individual. This tree is…

math.PR2024

On cutoff via rigidity for high dimensional curved diffusions

Djalil Chafaï, Max Fathi

We consider overdamped Langevin diffusions in Euclidean space, with curvature equal to the spectral gap. This includes the Ornstein-Uhlenbeck process as well as non-Gaussian and no…

math.PR2024

Cutoff phenomenon for asymmetric zero range process with monotone rates

Ons Rameh

We investigate the mixing time of the asymmetric Zero Range process on the segment with a non-decreasing rate. We show that the cutoff holds in the totally asymmetric case with a c…

math.PR2024

On joint returns to zero of Bessel processes

Quentin Berger, Loïc Béthencourt, Camille Tardif

In this article, we consider joint returns to zero of Bessel processes (): our main goal is to estimate the probability that they avoid having joint returns to zero fo…