Abstract
Under a suitable bunching condition, we establish that stable holonomies inside center-stable manifolds for diffeomorphisms are uniformly bi-Lipschitz and, in fact,. This verifies the ergodicity of suitably center-bunched, essentially accessible, partially hyperbolic diffeomorphisms and verifies that the Ledrappier-Young entropy formula holds for diffeomorphisms of compact manifolds.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3593-3618 |
| Number of pages | 26 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 42 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 18 2022 |
Keywords
- entropy
- ergodicity
- holonomies
- partial hyperbolicity
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics