10 citations · 44 across the 16 of their papers we have counts for
17 papers
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…
Pressure at infinity and strong positive recurrence in negative curvature
Sébastien Gouëzel, Camille Noûs, Barbara Schapira +2
In the context of geodesic flows of noncompact negatively curved manifolds, we propose three different definitions of entropy and pressure at infinity, through growth of periodic o…
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…
Twisted Patterson-Sullivan measures and applications to amenability and coverings
Rémi Coulon, Rhiannon Dougall, Barbara Schapira +1
Let be two discrete groups acting properly by isometries on a Gromov-hyperbolic space . We prove that their critical exponents coincide if and only if is co-amenable…
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…