8 citations · 9 across the 4 of their papers we have counts for
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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.PR2017★ 1 cited
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…