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math.DS2022
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…
math.DS2022★ 2 cited
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…
math.DS2022
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…