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math.DS2019
Narrow equidistribution and counting of closed geodesics on noncompact manifolds
Barbara Schapira, Samuel Tapie
We prove the equidistribution of (weighted) periodic orbits of the geodesic ow on noncompact negatively curved manifolds toward equilibrium states in the narrow topology, i.e. in t…
math.DS2018
Regularity of entropy, geodesic currents and entropy at infinity
Barbara Schapira, Samuel Tapie
In this work, we introduce the notion of entropy at infinity, and define a wide class of noncompact manifolds with negative curvature, those which admit a critical gap between entr…
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…