2 citations · 2 across the 7 of their papers we have counts for
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On the distribution of the periods of convex representations I
Abdelhamid Amroun
We prove a central limit theorem for a class of Hölder continuous cocycles with an application to stricly convex and irreducible rational representations of hyperbolic groups, intr…
On the number of periodic geodesics in rank 1 surfaces
Abdelhamid Amroun
We consider the geodesic flow of a compact connected rank 1 surface. We prove a formula for the topological pressure as the exponential growth rate of rank 1 periodic geodesics gen…
On the Growth of hyperbolic geodesics in rank 1 manifolds
Abdelhamid Amroun
We give a formula for the topological pressure of the geodesic flow of a compact rank 1 manifold in terms of the growth of the number of closed hyperbolic (rank 1) geodesics. We de…
Measures maximizing topological pressure
Abdelhamid Amroun
We give a general method on the way of approximating equilibrium states for a dynamical system of a compact metric space.
Equidistribution results for geodesic flows
Abdelhamid Amroun
Using the works of Mañé \cite{Ma} and Paternain \cite{Pat} we study the distribution of geodesic arcs with respect to equilibrium states of the geodesic flow on a closed manifold,…
Equilibrium states for smooth maps
Abdelhamid Amroun
We prove an equidistribution result for maps with respect to equilibrium states. We apply the result to the time-one map of the geodesic flow of a closed smooth Rieman…