666 citations
- Universidade Federal do Rio de JaneiroBR289 papers
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7 papers · 2 filters
Sensitivity, local stable/unstable sets and shadowing
Mayara Antunes, Bernardo Carvalho, Margoth Tacuri
In this paper we study local stable/unstable sets of sensitive homeomorphisms with the shadowing property defined on compact metric spaces. We prove that local stable/unstable sets…
Statistical properties of physical-like measures
Shaobo Gan, Fan Yang, Jiagang Yang +1
In this paper we consider the semi-continuity of the physical-like measures for diffeomorphisms with dominated splittings. We prove that any weak-* limit of physical-like measures…
There are no -finite absolutely continuous invariant measures for multicritical circle maps
Edson de Faria, Pablo Guarino
It is well-known that every multicritical circle map without periodic orbits admits a unique invariant Borel probability measure which is purely singular with respect to Lebesgue m…
Complex a priori bounds for multicritical circle maps with bounded type rotation number
Gabriela Estevez, Daniel Smania, Michael Yampolsky
In this paper we study homeomorphisms of the circle with several critical points and bounded type rotation number. We prove complex a priori bounds for these maps. As an applicatio…
Statistical determinism in non-Lipschitz dynamical systems
Theodore D. Drivas, Alexei A. Mailybaev, Artem Raibekas
We study a class of ordinary differential equations with a non-Lipschitz point singularity, which admit non-unique solutions through this point. As a selection criterion, we introd…
Partially volume expanding diffeomorphisms
Shaobo Gan, Ming Li, Marcelo Viana +1
We call a partially hyperbolic diffeomorphism \emph{partially volume expanding} if the Jacobian restricted to any hyperplane that contains the unstable bundle is larger than…