11 citations · 28 across the 7 of their papers we have counts for
7 papers
Exponential mixing of measures of maximal entropy for certain skew products
Karina Marin, Mauricio Poletti, Filiphe Veiga
We establish a relation between the continuity of the fiber entropy and the continuity of the fiber Lyapunov exponents for skew products with 2-dimensional fibers. This result exte…
Simple Lyapunov spectrum of partially hyperbolic diffeomorphisms
Karina Marin, Davi Obata, Mauricio Poletti
We study the simplicity of the Lyapunov spectrum of partially hyperbolic diffeomorphisms. We prove that a class of volume-preserving partially hyperbolic diffeomorphisms is -a…
Density of non-zero exponent of contraction for pinching cocycles on Hom(S^1)
Catalina Freijo, Karina Marin
We consider pinching cocycles taking values in the space of homeomorphisms of the circle over an hyperbolic base. Using the Invariance Principle of Malicet, we prove that the cocyc…
Continuity of Lyapunov exponents for non-uniformly fiber-bunched cocycles
Catalina Freijo, Karina Marin
We provide conditions which imply the continuity of the Lyapunov exponents for non-uniformly fiber-bunched cocycles in . The main theorem is an extension of the r…
-openness of non-uniform hyperbolic diffeomorphisms with bounded norm
Chao Liang, Karina Marin, Jiagang Yang
We study the -topological properties of the subset of non-uniform hyperbolic diffeomorphisms in a certain class of partially hyperbolic symplectic systems which have bou…
Lyapunov exponents of partially hyperbolic volume-preserving maps with 2-dimensional center bundle
Chao Liang, Karina Marin, Jiagang Yang
We consider the set of partially hyperbolic symplectic diffeomorphisms which are accessible, have 2-dimensional center bundle and satisfy some pinching and bunching conditions. In…
-density of (non-uniform) hyperbolicity in partially hyperbolic symplectic diffeomorphisms
Karina Marin
We use the Invariance Principle of Avila and Viana to prove that every partially hyperbolic symplectic diffeomorphism with 2-dimensional center bundle, and satisfying certain pinch…