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math.DS2020★ 1 cited
Thermodynamical -formalism I: measures of maximal -entropy for maps that factor over Anosov
Raul Ures, Marcelo Viana, Fan Yang +1
We construct measures of maximal -entropy for any partially hyperbolic diffeomorphism that factors over an Anosov torus automorphism and has mostly contracting center direction.…
math.DS2014
Entry times distribution for mixing systems
Nicolai Haydn, Fan Yang
We consider the return times dynamics to Bowen balls for continuous maps on metric spaces which have invariant probability measures with certain mixing properties. These mixing pro…
math.DS2014
Entry times distribution for dynamical balls on metric spaces
Nicolai Haydn, Fan Yang
We show that the entry and return times for dynamic balls (Bowen balls) is exponential for systems that have an -mixing invariant measure with certain regularities. We also show…