Anosov diffeomorphisms of open surfaces
Sign Up to like & getrecommendations! Published in 2024 at "Geometriae Dedicata"
DOI: 10.1007/s10711-025-01020-7
Abstract: We study the existence of Anosov diffeomorphisms on complete open surfaces. We show that under the assumptions of density of periodic points and uniform geometry that such diffeomorphisms have a system of Margulis measures, which… read more here.
Keywords: open surfaces; anosov diffeomorphisms; diffeomorphisms open; geometry ... See more keywords
On the equidistribution of unstable curves for pseudo-Anosov diffeomorphisms of compact surfaces
Sign Up to like & getrecommendations! Published in 2021 at "Ergodic Theory and Dynamical Systems"
DOI: 10.1017/etds.2021.119
Abstract: Abstract We prove that the asymptotics of ergodic integrals along an invariant foliation of a toral Anosov diffeomorphism, or of a pseudo-Anosov diffeomorphism on a compact orientable surface of higher genus, is determined (up to… read more here.
Keywords: anosov diffeomorphisms; curves pseudo; unstable curves; equidistribution unstable ... See more keywords