arXiv Analytics

Sign in

arXiv:2402.11263 [math.DS]AbstractReferencesReviewsResources

$C^1$ Pesin (un)stable manifold without domination

Yongluo Cao, Zeya Mi, Rui Zou

Published 2024-02-17Version 1

For $C^1$ diffeomorphisms with continuous invariant splitting without domination, we prove the existence of Pesin (un)stable manifold under the hyperbolicity of invariant measures.

Categories: math.DS
Subjects: 37D05, 37D10, 37D25, 37D30
Related articles: Most relevant | Search more
arXiv:1004.3439 [math.DS] (Published 2010-04-20)
The Structure on Invariant Measures of $C^1$ generic diffeomorphisms
arXiv:1601.00920 [math.DS] (Published 2016-01-05)
The homology core and invariant measures
arXiv:2302.06969 [math.DS] (Published 2023-02-14)
A stochastic variant of replicator dynamics in zero-sum games and its invariant measures

Links

Toolbox