10 citations · 44 across the 16 of their papers we have counts for
15 papers · 1 filter
Measure of maximal entropy for H-flows on non-compact manifolds
Anna Florio, Barbara Schapira, Anne Vaugon
In this work, we introduce a natural class of chaotic flows on non-compact manifolds, called H-flows, which includes geodesic flows on non-compact manifolds with pinched negative c…
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…
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…
On topological and measurable dynamics of unipotent frame flows for hyperbolic manifolds
François Maucourant, Barbara Schapira
We study the dynamics of unipotent flows on frame bundles of hyperbolic manifolds of infinite volume. We prove that they are topologi-cally transitive, and that the natural invaria…
Finiteness of gibbs measures on noncompact manifolds with pinched negative curvature
Barbara Schapira, Vincent Pit
We characterize the finiteness of Gibbs measures for geodesic flows on negatively curved manifolds by several criteria, analogous to those proposed by Sarig for symbolic dynamical…
A short proof of unique ergodicity of horospherical foliations on infinite volume hyperbolic manifolds
Barbara Schapira
We give a short proof of the unique ergodicity of the strong stable foliation of the geodesic flow on the frame bundle of a hyperbolic manifold admitting a finite measure of maxima…