12 citations · 12 across the 6 of their papers we have counts for
10 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…
Pressure at infinity and strong positive recurrence in negative curvature
Sébastien Gouëzel, Camille Noûs, Barbara Schapira +2
In the context of geodesic flows of noncompact negatively curved manifolds, we propose three different definitions of entropy and pressure at infinity, through growth of periodic o…
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…
Escape of mass and entropy for geodesic flows
Felipe Riquelme, Anibal Velozo
In this paper we study the ergodic theory of the geodesic flow on negatively curved geometrically finite manifolds. We prove that the measure theoretic entropy is upper semicontinu…
Ruelle's inequality in negative curvature
Felipe Riquelme
In this paper we study different notions of entropy for measure-preserving dynamical systems defined on noncompact spaces. We see that some classical results for compact spaces rem…
Entropy in the cusp and phase transitions for geodesic flows
Godofredo Iommi, Felipe Riquelme, Anibal Velozo
In this paper we study the geodesic flow for a particular class of Riemannian non-compact manifolds with variable pinched negative sectional curvature. For a sequence of invariant…
Counterexamples to Ruelle's inequality in the noncompact case
Felipe Riquelme
In this paper we show that there exists a large family of smooth dynamical systems defined over noncompact spaces that does not satisfy Ruelle's inequality between entropy and Lyap…