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19952026
most citedInverse Problem for a Curved Quantum Guide

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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

Sum rules via large deviations: polynomial potentials and multi-cut regime on the unit circle

Fabrice Gamboa, Jan Nagel, Alain Rouault

Sum rules are elegant formulas that relate entropy functionals to coefficients associated with orthogonal polynomials [Sim11]. In a series of paper (see for example [GNR16], [GNR17…

math.PR2025

Strong Convergence of Multiplicative Brownian Motions on the General Linear Group

Marwa Banna, Mireille Capitaine, Guillaume Cébron

We consider the family of multiplicative Brownian motions on the general linear group introduced by Driver-Hall-Kemp. They are parametrized by the real variance $λ\in \ma…

math.PR2025

Polynomial slowdown in an angle-dependent 2d branching Brownian motion

Julien Berestycki, David Geldbach, Michel Pain

We consider a branching Brownian motion in in which particles independently diffuse as standard Brownian motions and branch at an inhomogeneous rate which dep…

math.PR2025

Multivariate Self-Exciting Processes with Dependencies

Caroline Hillairet, Thomas Peyrat, Anthony Réveillac

This paper introduces the class of multidimensional self-exciting processes with dependencies (MSPD), which is a unifying writing for a large class of processes: counting, loss, in…

math.PR2025

The Derrida-Retaux model on a geometric Galton-Watson tree

Gerold Alsmeyer, Yueyun Hu, Bastien Mallein

We consider a generalized Derrida-Retaux model on a Galton-Watson tree with a geometric offspring distribution. For a class of recursive systems, including the Derrida-Retaux model…