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)|
|Number of pages||26|
|Journal||Ergodic Theory and Dynamical Systems|
|State||Published - Dec 18 2022|
- partial hyperbolicity
ASJC Scopus subject areas
- Applied Mathematics