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math.DS2025
Effective SPR property for surface diffeomorphisms and three-dimensional vector fields
David Burguet, Chiyi Luo, Dawei Yang
In this paper, we prove that ergodic measures with large entropy give uniformly large measure to the set of points with simultaneously long unstable and long stable manifolds. As a…
math.DS2025
Upper semi-continuity of metric entropy for diffeomorphisms
Chiyi Luo, Dawei Yang
We establish a uniform approximation of metric entropy by partition entropy using uniform partitions for $\cC^{1,α}$ three-dimensional diffeomorphisms. This gives several consequen…