8 citations · 9 across the 3 of their papers we have counts for
4 papers
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…
Iterated function systems with place dependent probabilities and application to the Diaconis-Friedman's chain on [0,1]
Fetima Ladjimi, Marc Peigné
We study Markov chains generated by iterated Lipschitz functions systems with possibly place dependent probabilities. Under general conditions, we prove uniqueness of the invariant…
On some exotic Schottky groups
Marc Peigné
We construct a Cartan-Hadamard manifold with pinched negative curvature whose group of isometries possesses divergent discrete free subgroups with parabolic elements who do not sat…
On recurrence of reflected random walk on the half-line. With an appendix on results of Martin Benda
Marc Peigné, Wolfgang Woess
Let be a sequence of i.i.d. real valued random variables. Reflected random walk is defined recursively by , . In this note,…