4 citations · 6 across the 2 of their papers we have counts for
4 papers
The boundary of rank-one divisible convex sets
Pierre-Louis Blayac
We prove that for any non-symmetric irreducible divisible convex set, the proximal limit set is the full projective boundary.
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…