2 papers
math.DS2025
Uniqueness of the measure of maximal entropy for geodesic flows on surfaces
Yuri Lima, Davi Obata, Mauricio Poletti
We prove that if a geodesic flow on a closed orientable surface is transitive and has positive topological entropy, then it has a unique measure of maximal entropy. This…
math.DS2024
Measures of maximal entropy for non-uniformly hyperbolic maps
Yuri Lima, Davi Obata, Mauricio Poletti
For maps, possibly non-invertible and with singularities, we prove that each homoclinic class of an ergodic adapted hyperbolic measure carries at most one adapted hyperbol…