On Pesin's entropy formula for dominated splittings without mixed behavior
classification
🧮 math.DS
keywords
entropybehaviordiffeomorphismsdominatedformulamixedpesinprove
read the original abstract
For $C^1$ 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.