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math.DS2012★ 37 cited
Pesin Entropy Formula for C1 Diffeomorphisms with Dominated Splitting
Eleonora Catsigeras, Marcelo Cerminara, Heber Enrich
For any C1 diffeomorphism with dominated splitting we consider a nonempty set of invariant measures which describes the asymptotic statistics of Lebesgue-almost all orbits. They ar…
math.DS2012★ 5 cited
Equilibrium States and SRB-like measures of C1 Expanding Maps of the Circle
Eleonora Catsigeras, Heber Enrich
For any C1 expanding map f of the circle we study the equilibrium states for the potential -log |f'|. We formulate a C1 generalization of Pesin's Entropy Formula that holds for all…