2 papers
math.DS2025
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…
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…