24 citations · 100 across the 44 of their papers we have counts for
4 papers · 1 filter
Equilibrium states in negative curvature
Frédéric Paulin, Mark Pollicott, Barbara Schapira
With their origin in thermodynamics and symbolic dynamics, Gibbs measures are crucial tools to study the ergodic theory of the geodesic flow on negatively curved manifolds. We deve…
Logarithm laws for strong unstable foliations in negative curvature and non-Archimedian Diophantine approximation
Jayadev S. Athreya, Frédéric Paulin
Given for instance a finite volume negatively curved Riemannian manifold , we give a precise relation between the logarithmic growth rates of the excursions into cusps neighborh…
Counting arcs in negative curvature
Jouni Parkkonen, Frédéric Paulin
Let M be a complete Riemannian manifold with negative curvature, and let C_-, C_+ be two properly immersed closed convex subsets of M. We survey the asymptotic behaviour of the num…
Skinning measures in negative curvature and equidistribution of equidistant submanifolds
Jouni Parkkonen, Frédéric Paulin
Let C be a locally convex subset of a negatively curved Riemannian manifold M. We define the skinning measure on the outer unit normal bundle to C in M by pulling back the Patterso…