3 papers
math.RT2026
On the distribution of the periods of convex representations II
Abdelhamid Amroun
Let be a Zariski dense irreducible convex representation of the hyperbolic group , where G is a connected real semisimple algebraic Lie group. We establi…
math.DS2026
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…
math.DS2016
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…