17 citations · 42 across the 16 of their papers we have counts for
16 papers
Dimension approximation in smooth dynamical systems
Yongluo Cao, Juan Wang, Yun Zhao
For a non-conformal repeller of a map preserving an ergodic measure of positive entropy, this paper shows that the Lyapunov dimension of can be approximat…
Characterization of SRB Measures for Random Dynamical Systems in a Banach space
Chiyi Luo, Yun Zhao
This paper considers random dynamical systems in a Banach space, and proves that under some mild conditions, SRB measures are characterized by invariant measures satisfying P…
Hölder continuity of Oseledets subspaces for linear cocycles on Banach spaces
Chiyi Luo, Yun Zhao
Let be an invertible Lipschitz transformation on a compact metric space . Given a Hölder continuous invertible operator cocycles on a Banach space and an -invarian…
Sub-additivity of measure-theoretic entropies of commuting transformations on Banach space
ChiYi Luo, Yun Zhao
This paper considers two commuting smooth transformations on a Banach space, and proves the sub-additivity of the measure theoretic entropies under mild conditions. Furthermore, so…
Dimension Estimates for Non-conformal Repellers and Continuity of Sub-additive Topological Pressure
Yongluo Cao, Yakov Pesin, Yun Zhao
Given a non-conformal repeller of a map, we study the Hausdorff dimension of the repeller and continuity of the sub-additive topological pressure for the sub-additive…
Measure theoretic pressure and dimension formula for non-ergodic measures
Jialu Fang, Yongluo Cao, Yun Zhao
This paper first studies the measure theoretic pressure of measures that are not necessarily ergodic. We define the measure theoretic pressure of an invariant measure (not necessar…