Laboratoire de Mathématiques d'Orsay

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19932026

most citedRényi Divergence and Kullback-Leibler Divergence

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math.PR2026

Strong existence and uniqueness for a class of quasilinear stochastic evolution equations

Sebastian Bechtel, Esmée Theewis

We establish existence of probabilistically strong solutions and pathwise uniqueness for a class of quasilinear stochastic evolution equations on bounded domains. Our results combi…

math.PR2025

Genetic contribution of advantaged ancestors in the biparental Moran model -- finite selection

Camille Coron, Yves Le Jan

We study a population of $N$ individuals evolving according to a biparental Moran model with two types, one being advantaged compared to the other. The advantage is conferred by a…

math.PR2024

A phase transition for the biased tree-builder random walk

Arthur Blanc-Renaudie, Camille Cazaux, Guillaume Conchon-Kerjan +2

We consider a recent model of random walk that recursively grows the network on which it evolves, namely the Tree Builder Random Walk (TBRW). We introduce a bias $ρ \in (0, \infty)$ …

math.PR2024

Ideal Poisson--Voronoi tessellations beyond hyperbolic spaces

Matteo D'Achille

We construct and study the ideal Poisson--Voronoi tessellation of the product of two hyperbolic planes $H_{2} \times H_{2}$ endowed with the $L^{1}$ norm. We prove…

math.PR2024

Genetic contribution of an advantaged mutant in the biparental Moran model -- finite selection

Camille Coron, Yves Le Jan

We consider a population of N individuals, whose dynamics through time is represented by a biparental Moran model with two types: an advantaged type and a disadvantaged type. The a…

math.PR2024

Local limit of massive spanning forests on the complete graph

Matteo D'Achille, Nathanaël Enriquez, Paul Melotti

We identify the local limit of massive spanning forests on the complete graph. This generalizes a well-known theorem of Grimmett on the local limit of uniform spanning trees on the…