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math.DS2022★ 1 cited
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…
math.DS2017
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…
math.DS2010
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…