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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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14 papers · 2 filters
Focusing Gibbs measures with harmonic potential
Tristan Robert, Kihoon Seong, Leonardo Tolomeo +1
In this paper, we study the Gibbs measures associated to the focusing nonlinear Schrödinger equation with harmonic potential on Euclidean spaces. We establish a dichotomy for norma…
Independence preserving property of Kummer laws
Efoevi Angelo Koudou, Jacek Wesołowski
We prove that if are positive, independent, non-Dirac random variables and if for , , $$ ψ_{α,β}(x,y)=\left(y\,\tfrac{1+β(x+y)}{1+αx+βy},\;x\,\tfrac{1+α(x+…
Quasi-limiting estimates for periodic absorbed Markov chains
Nicolas Champagnat, Denis Villemonais
We consider periodic Markov chains with absorption. Applying to iterates of this periodic Markov chain criteria for the exponential convergence of conditional distributions of aper…
Binary branching processes with Moran type interactions
Alexander M. G. Cox, Emma Horton, Denis Villemonais
The aim of this paper is to study the large population limit of a binary branching particle system with Moran type interactions: we introduce a new model where particles evolve, re…
The Multi-type Bisexual Galton-Watson Branching Process
Coralie Fritsch, Denis Villemonais, Nicolás Zalduendo
In this work we study the bisexual Galton-Watson process with a finite number of types, where females and males mate according to a ''mating function'' and form couples of differen…
General diffusion processes as the limit of time-space Markov chains
Alexis Anagnostakis, Antoine Lejay, Denis Villemonais
We prove the convergence of the law of grid-valued random walks, which can be seen as time-space Markov chains, to the law of a general diffusion process. This includes processes w…
Hyperbolic Anderson model 2: Strichartz estimates and Stratonovich setting
Xia Chen, Aurélien Deya, Jian Song +1
We study a wave equation in dimension with a multiplicative space-time Gaussian noise. The existence and uniqueness of the Stratonovich solution is obtained under so…
Quasi-stationary behavior for an hybrid model of chemostat: the Crump-Young model
Bertrand Cloez, Coralie Fritsch
The Crump-Young model consists of two fully coupled stochastic processes modeling the substrate and microorganisms dynamics in a chemostat. Substrate evolves following an ordinary…
Approximations of dispersive PDEs in the presence of low-regularity randomness
Yvonne Alama Bronsard, Yvain Bruned, Katharina Schratz
We introduce a new class of numerical schemes which allow for low regularity approximations to the expectation , where denotes the -th Four…
A central limit theorem for continuous-time Markov processes conditioned not to be absorbed
William Oçafrain
This paper aims to establish a central limit theorem for Markov processes conditioned not to be absorbed under a very general assumption on quasi-stationarity for the underlying pr…
Perfect sampling of stochastic matching models with reneging
Thomas Masanet, Pascal Moyal
In this paper, we introduce a slight variation of the Dominated Coupling From the Past algorithm (DCFTP) of Kendall, for bounded Markov chains. It is based on the control of a (typ…
Functional convergence to the local time of a sticky diffusion
Alexis Anagnostakis
We establish the consistency of a local time approximation of a diffusion at a sticky threshold based on high-frequency observations. First, we prove the result for sticky Brownian…
On the exit-problem for self-interacting diffusions
Ashot Aleksian, Pierre Del Moral, Aline Kurtzmann +1
We study the exit-time from a domain of a self-interacting diffusion, where the Brownian motion is replaced by for a constant . The first part of this work consists in sh…
Quasi-stationary distributions in reducible state spaces
Nicolas Champagnat, Denis Villemonais
We study quasi-stationary distributions and quasi-limiting behavior of Markov chains in general reducible state spaces with absorption. We propose a set of assumptions dealing with…