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.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…
math.DS2025
Non-compact spaces of invariant measures
Godofredo Iommi, Anibal Velozo
We study a compactification of the space of invariant probability measures for a transitive countable Markov shift. We prove that it is affine homeomorphic to the Poulsen simplex.…