Abstract
Let f be a diffeomorphism of a manifold and Λ be an f-invariant set supporting an ergodic Borel probability measure μ with certain properties. A lower bound on the capacity of Λ is given in terms of the μ-Lyapunov exponents. This applies in particular to Axiom A attractors and their Bowen-Ruelle measure.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 381-388 |
| Number of pages | 8 |
| Journal | Ergodic Theory and Dynamical Systems |
| Volume | 1 |
| Issue number | 3 |
| DOIs | |
| State | Published - Sep 1981 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics