17 citations · 43 across the 8 of their papers we have counts for
8 papers
On the rate of convergence in the weak invariance principle for dependent random variables with applications to Markov chains
Ion Grama, Émile Le Page, Marc Peigné
We prove an invariance principle for non-stationary random processes and establish a rate of convergence under a new type of mixing condition. The dependence is exponentially decay…
Central limit theorem for a critical multi-type branching process in random environment
E. Le Page, M. Peigné, C. Pham
Let (Z n) n0 with Z n = (Z n (i, j)) 1i,jp be a p multi-type critical branching process in random environment, and let M n be the expectation of Z n given a fixed en…
Limit theorem for perturbed random walks
Hoang-Long Ngo, Marc Peigne
We consider random walks perturbed at zero which behave like (possibly different) random walks with i.i.d. increments on each half lines and restarts at whenever they cross tha…
Conditioned limit theorems for products of random matrices
Ion Grama, Emile Le Page, Marc Peigné
Consider the product of the random matrices in and the random process in st…
Return Probabilities for the Reflected Random Walk on
Rim Essifi, Marc Peigné
Let be a sequence of i.i.d. -valued random variables with law . The reflected random walk is defined recursively by $X_0=x \in \mathbb N_0, X_{n+1}=|X…
On the horoboundary and the geometry of rays of negatively curved manifolds
Françoise Dal'bo, Marc Peigné, Andréa Sambusetti
In this paper we try to compare the "horoboundary" of a (not necessarily simply connected) negatively curved complete Riemannian manifold X with the visual one and describe with ex…
Stochastic dynamical systems with weak contractivity properties (with a chapter featuring results of Martin Benda)
Marc Peigné, Wolfgang Woess
Consider a proper metric space X and a sequence of i.i.d. random continuous mappings F_n from X to X. It induces the stochastic dynamical system (SDS) X_n^x = F_n(X_{n-1}^x) starti…
On the growth of nonuniform lattices in pinched negatively curved manifolds
Françoise Dal'Bo, Marc Peigné, Jean-Claude Picaud +1
We study the relation between the exponential growth rate of volume in a pinched negatively curved manifold and the critical exponent of its lattices. These objects have a long and…