Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609432 | Journal of Differential Equations | 2016 | 23 Pages |
Abstract
For C1C1 diffeomorphisms, we prove that the Pesin's entropy formula holds for some invariant measure supported on any topological attractor that admits a dominated splitting without mixed behavior. We also prove Shub's entropy conjecture for diffeomorphisms having such kind of splittings.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yongluo Cao, Dawei Yang,