3 papers
math.DS2026
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…
math.DS2026
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…
math.DS2025
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…