Weak measure expansivity of C2 dynamics

Let ff be a C2{C}^{2}-diffeomorphism with Axiom A and no cycle condition on a two-dimensional smooth manifold. In this article, we prove that if ff is C2{C}^{2}-robustly weak measure expansive, then it is Q2{Q}^{2}-Anosov. Moreover, we expand the results of the C2{C}^{2}-diffeomorphism case into the...

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Bibliographic Details
Main Authors: Ahn Jiweon, Lee Manseob
Format: Article
Language:English
Published: De Gruyter 2022-12-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2022-0522