7.7k citations
- Centre National de la Recherche ScientifiqueFR1.2k papers
- Institut Élie Cartan de LorraineFR874 papers
- Institut Jean LamourFR378 papers
- Laboratoire Lorrain de Recherche en Informatique et ses ApplicationsFR277 papers
- Institut national de recherche en sciences et technologies du numériqueFR174 papers
- Laboratoire de Physique et Chimie ThéoriquesFR148 papers
- Université Paris-SaclayFR115 papers
- CRANFR110 papers
- Sorbonne UniversitéFR85 papers
- Institut Universitaire de FranceFR61 papers
- Université de StrasbourgFR56 papers
- Laboratoire Énergies & Mécanique Théorique et AppliquéeFR54 papers
10 papers · 2 filters
The critical branching random walk in a random environment dies out
Olivier Garet, Régine Marchand
We study the possibility for branching random walks in random environment (BRWRE) to survive. The particles perform simple symmetric random walks on the -dimensional integer lat…
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…
Smoothness of the density for solutions to Gaussian rough differential equations
Thomas Cass, Martin Hairer, Christian Litterer +1
We consider stochastic differential equations of the form driven by a multi-dimensional Gaussian process. Under the assumption that the vector fiel…
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 law in the second Wiener/Wigner chaos
Ivan Nourdin, Guillaume Poly
Let L be the class of limiting laws associated with sequences in the second Wiener chaos. We exhibit a large subset L_0 of L satisfying that, for any F_infinity in L_0, the converg…