21 citations · 33 across the 12 of their papers we have counts for
15 papers
A local limit theorem for convergent random walks on relatively hyperbolic groups
Matthieu Dussaule, Marc Peigné, Samuel Tapie
We study random walks on relatively hyperbolic groups whose law is convergent, in the sense that the derivative of its Green function is finite at the spectral radius.When paraboli…
On the asymptotic behavior of the Diaconis and Freedman's chain in a multidimensional simplex
Marc Peigné, Tat Dat Tran
In this paper, we give out a setting of an Diaconis and Freedman's chain in a multidimensional simplex and consider its asymptotic behavior. By using techniques in random iterated…
On the affine recursion on
Sara Brofferio, Marc Peigné, Thi Da Cam Pham
We fix and denote the semi-group of matrices with non negative entries. We consider a sequence of i. i. d. random vari…
Limit theorem for reflected random walks
Hoang-Long Ngo, Marc Peigné
Let n , n N be a sequence of i.i.d. random variables with values in Z. The associated random walk on Z is S(n) = 1 + + n+1 and the corr…
Recurrence of 2-dimensional queueing processes, and random walk exit times from the quadrant
Marc Peigné, Wolfgang Woess
Let be a 2-dimensional random variable and a sequence of i.i.d. copies of . The associated random walk is .…
Counting for some convergent groups
Marc Peigné, Samuel Tapie, Pierre Vidotto
We present examples of geometrically finite manifolds with pinched negative curvature, whose geodesic flow has infinite non-ergodic Bowen-Margulis measure and whose Poincaré series…