37 citations · 44 across the 3 of their papers we have counts for
8 papers
Weak Pseudo-Physical Measures and Pesin's Entropy Formula for Anosov C1 diffeomorphisms
Eleonora Catsigeras, Marcelo Cerminara, Heber Enrich
We consider C1 Anosov diffeomorphisms on a compact Riemannian manifold. We define the weak pseudo-physical measures, which include the physical measures when these latter exist. We…
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…
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…
SRB-like measures for C0 dynamics
Eleonora Catsigeras, Heber Enrich
For any continuous map f on a compact manifold M, we define the SRB-like (or observable) probabilities as a generalization of Sinai-Ruelle-Bowen (i.e. physical) measures. We prove…
Simultaneous Continuation of Infinitely Many Sinks Near a Quadratic Homoclinic Tangency
Eleonora Catsigeras, Marcelo Cerminara, Heber Enrich
We prove that the diffeomorphisms on surfaces, exhibiting infinitely many sinksnear the generic unfolding of a quadratic homoclinic tangency of a dissipative saddle, can be p…
The real analytic Feigenbaum-Coullet-Tresser attractor in the disk
E. Catsigeras, M. Cerminara, H. Enrich
We consider a real analytic diffeomorphism on a n-dimensional disk D, n >= 2, exhibiting a Feigenbaum-Coullet-Tresser (F.C.T.) attractor, being far, in the standard topology…