285 citations
- Université de LorraineFR143 papers
- Institut national de recherche en sciences et technologies du numériqueFR28 papers
- Centre National de la Recherche ScientifiqueFR20 papers
- Institut Universitaire de FranceFR8 papers
- Laboratoire de Mathématiques Blaise PascalFR6 papers
- École PolytechniqueFR4 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR4 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR3 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR3 papers
- Romanian AcademyRO3 papers
- University of LuxembourgLU3 papers
- Basque Center for Applied MathematicsES2 papers
4 papers · 2 filters
Birth and death processes with neutral mutations
Nicolas Champagnat, Amaury Lambert, Mathieu Richard
In this paper, we review recent results of ours concerning branching processes with general lifetimes and neutral mutations, under the infinitely many alleles model, where mutation…
Persistent random walks, variable length Markov chains and piecewise deterministic Markov processes
Peggy Cénac, Brigitte Chauvin, Samuel Herrmann +1
A classical random walk is defined by , where are i.i.d. When the increments are a one-…
Absolute continuity and convergence of densities for random vectors on Wiener chaos
Ivan Nourdin, David Nualart, Guillaume Poly
The aim of this paper is to establish some new results on the absolute continuity and the convergence in total variation for a sequence of d-dimensional vectors whose components be…
Convergence in total variation on Wiener chaos
Ivan Nourdin, Guillaume Poly
Let be a sequence of random variables belonging to a finite sum of Wiener chaoses. Assume further that it converges in distribution towards satisfying ${\rm Var}…