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- Institut Élie Cartan de LorraineFR152 papers
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7 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…
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…
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}…