Asymptotic measure-expansiveness for generic diffeomorphisms

In this paper, we will assume MM to be a compact smooth manifold and f:M→Mf:M\to M to be a diffeomorphism. We herein demonstrate that a C1{C}^{1} generic diffeomorphism ff is Axiom A and has no cycles if ff is asymptotic measure expansive. Additionally, for a C1{C}^{1} generic diffeomorphism ff, if...

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Bibliographic Details
Main Author: Lee Manseob
Format: Article
Language:English
Published: De Gruyter 2021-06-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2021-0037