2 papers
math.DS2025
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…
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…