23 citations · 55 across the 10 of their papers we have counts for
4 papers · 1 filter
Thermodynamic formalism and the entropy at infinity of the geodesic flow
Anibal Velozo
In this paper we study the ergodic theory and thermodynamic formalism of the geodesic flow on non-compact pinched negatively curved manifolds. We consider two notions of entropy at…
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…
Phase transitions for geodesic flows and the geometric potential
Anibal Velozo
In this paper we study the phenomenon of phase transitions for the geodesic flow on some geometrically finite negatively curved manifolds. We define a class of potentials going slo…
Semicontinuity of measure theoretic entropy for noncompact systems
Anibal Velozo
We prove the upper semicontinuity of the measure theoretic entropy for the geodesic flow on complete Riemannian manifolds without focal points and bounded sectional curvature. We t…