23 citations · 23 across the 1 of their papers we have counts for
3 papers
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.…
math.DS2020
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…
math.DS2017★ 23 cited
Rate distortion theory, metric mean dimension and measure theoretic entropy
Anibal Velozo, Renato Velozo
We prove a variational principle for the metric mean dimension analog to the one in [LT]. Instead of using the rate distortion function we use the function that is clo…