5 papers
Equidistribution and thermodynamics at infinity
Godofredo Iommi, Felipe Riquelme, Aníbal Velozo
We prove level-2 large deviation upper bounds for potentials on countable Markov shifts and for suspension semi-flows over countable Markov shifts. For strongly positive recurrent…
On linear escape and the dimension of limit sets in variable negative curvature
Daniel Pizarro, Felipe Riquelme
In 2004, Bishop proved that for Kleinian groups acting on hyperbolic space, the Hausdorff dimension of the limit set is completely determined by two extremal dynamical behaviors: r…
On the Hausdorff dimension of geodesics that diverge on average
Felipe Riquelme, Anibal Velozo
In this article we prove that the Hausdorff dimension of geodesic directions that are recurrent and diverge on average coincides with the entropy at infinity of the geodesic flow f…
Exceptional sets for geodesic flows of noncompact manifolds
Katrin Gelfert, Felipe Riquelme
For a geodesic flow on a negatively curved Riemannian manifold and some subset , we study the limit -exceptional set, that is the set of points whose -limi…
Ergodic optimization and zero temperature limits in negative curvature
Felipe Riquelme, Anibal Velozo
In this paper we study aspects of the ergodic theory of the geodesic flow on a non-compact negatively curved manifold. It is a well known fact that every continuous potential on a…