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math.DS2025
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…
math.DS2025
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…
math.DS2018
-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…