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Quasi-shadowing for ℤd-actions.

Authors :
Pan, Juan
Ren, Xian Kun
Zhou, Yun Hua
Source :
Acta Mathematica Sinica. Jun2024, Vol. 40 Issue 6, p1563-1580. 18p.
Publication Year :
2024

Abstract

A diffeomorphism is non-uniformly partially hyperbolic if it preserves an ergodic measure with at least one zero Lyapunov exponent. We prove that a C1-smooth ℤd-action has the quasi-shadowing property if one of the generators is C1+α (α > 0) non-uniformly partially hyperbolic. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*LYAPUNOV exponents

Details

Language :
English
ISSN :
14398516
Volume :
40
Issue :
6
Database :
Academic Search Index
Journal :
Acta Mathematica Sinica
Publication Type :
Academic Journal
Accession number :
178027741
Full Text :
https://doi.org/10.1007/s10114-023-1681-1