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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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11 papers · 2 filters
Rates of convergence to the local time of Oscillating and Skew Brownian Motions
Sara Mazzonetto
In this paper, a class of statistics based on high frequency observations of oscillating and skew Brownian motion is considered. Their convergence rate towards the local time of th…
Persistence in the Moran model with random switching
Arnaud Guillin, Arnaud Personne, Edouard Strickler
The paper is devoted to the study of the asymptotic behaviour of Moran process in random environment, say random selection. In finite population, the Moran process may be degenerat…
Stochastic Methods for Neutron Transport Equation III: Generational many-to-one and
A. M. G. Cox, E. L. Horton, A. E. Kyprianou +1
The Neutron Transport Equation (NTE) describes the flux of neutrons over time through an inhomogeneous fissile medium. In the recent articles [5, 10], a probabilistic solution of t…
Skorohod and rough integration with respect to the non-commutative fractional Brownian motion
Aurélien Deya, René Schott
We pursue our investigations, initiated in [8], about stochastic integration with respect to the non-commutative fractional Brownian motion (NC-fBm). Our main objective in this pap…
BPHZ renormalisation and vanishing subcriticality asymptotics of the fractional model
Nils Berglund, Yvain Bruned
We consider stochastic PDEs on the -dimensional torus with fractional Laplacian of parameter , quadratic nonlinearity and driven by space-time white noise. These equa…
The impatient collector
Anis Amri, Philippe Chassaing
In the coupon collector problem with items, the collector needs a random number of tries to complete the collection. Also, after tries, the collector ha…
A central limit theorem for the number of descents and some urn models
Olivier Garet
The purpose of this work is to establish a central limit theorem that can be applied to a particular form of Markov chains, including the number of descents in a random permutation…
Practical criteria for R-positive recurrence of unbounded semigroups
Nicolas Champagnat, Denis Villemonais
The goal of this note is to show how recent results on the theory of quasi-stationary distributions allow to deduce effortlessly general criteria for the geometric convergence of n…
A stochastic Gronwall inequality and applications to moments, strong completeness, strong local Lipschitz continuity, and perturbations
Anselm Hudde, Martin Hutzenthaler, Sara Mazzonetto
There are numerous applications of the classical (deterministic) Gronwall inequality. Recently, Michael Scheutzow discovered a stochastic Gronwall inequality which provides upper b…
Scaling limits of permutation classes with a finite specification: a dichotomy
Frédérique Bassino, Mathilde Bouvel, Valentin Féray +3
We consider uniform random permutations in classes having a finite combinatorial specification for the substitution decomposition. These classes include (but are not limited to) al…
Random polytopes and the wet part for arbitrary probability distributions
Imre Bárány, Matthieu Fradelizi, Xavier Goaoc +2
We examine how the measure and the number of vertices of the convex hull of a random sample of points from an arbitrary probability measure in relates to the wet…