6 citations · 17 across the 10 of their papers we have counts for
5 papers · 1 filter
Counting, mixing and equidistribution for GPS systems with applications to relatively Anosov groups
Pierre-Louis Blayac, Richard Canary, Feng Zhu +1
We establish counting, mixing and equidistribution results for finite BMS measures on flow spaces associated to geometrically finite convergence group actions. We show that, in par…
Patterson-Sullivan theory for coarse cocycles
Pierre-Louis Blayac, Richard Canary, Feng Zhu +1
In this paper we develop a theory of Patterson--Sullivan measures associated to coarse cocycles of convergence groups. This framework includes Patterson-Sullivan measures associate…
Patterson--Sullivan densities in convex projective geometry
Pierre-Louis Blayac
For any rank-one convex projective manifold with a compact convex core, we prove that there exists a unique probability measure of maximal entropy on the set of unit tangent vector…
Ergodicity and equidistribution in Hilbert geometry
Pierre-Louis Blayac, Feng Zhu
We show that dynamical and counting results characteristic of negatively-curved Riemannian geometry, or more generally CAT() or rank-one CAT() spaces, also hold for rank-one…
Topological mixing of the geodesic flow on convex projective manifolds
Pierre-Louis Blayac
We introduce a natural subset of the unit tangent bundle of a convex projective manifold, the biproximal unit tangent bundle; it is closed and invariant under the geodesic flow, an…