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Showing 2023 · math.PRShow all
3 papers · 2 filters
math.PR2023
Some remarks on the effect of the Random Batch Method on phase transition
Arnaud Guillin, Pierre Le Bris, Pierre Monmarché
In this article, we focus on two toy models : the Curie-Weiss model and the system of particles in linear interactions in a double well confining potential. Both models, which…
math.PR2023★ 1 cited
Persistence problems for additive functionals of one-dimensional Markov processes
Quentin Berger, Loïc Béthencourt, Camille Tardif
In this article, we consider additive functionals of a càdlàg Markov process on . Under some general conditions on…
math.PR2023
Fluctuations of lattice zonotopes and polygons
Théophile Buffière, Philippe Marchal
Following Barany et al., who proved that large random lattice zonotopes converge to a deterministic shape in any dimension after rescaling, we establish a central limit theorem for…