most citedHölder continuity of Oseledets subspaces for linear cocycles on Banach spaces

2 citations · 2 across the 4 of their papers we have counts for

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4 papers

math.DS2024

Upper semi-continuity of metric entropy for diffeomorphisms with dominated splitting

Chiyi Luo, Wenhui Ma, Yun Zhao

For a diffeomorphism on a compact manifold that admits a dominated splitting, this paper establishes the upper semi-continuity of the entropy map. More precisely, t…

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…