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210 papers · 1 filter
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…
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…
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…
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…
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…
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…