Abstract
It is known that hyperbolic dynamical systems admit a unique invariant probability measure with maximal entropy. We prove an effective version of this statement and use it to estimate an upper bound for Hausdorff dimension of exceptional sets arising from dynamics.
Original language | English |
---|---|
Pages (from-to) | 237-249 |
Number of pages | 13 |
Journal | Monatshefte fur Mathematik |
Volume | 178 |
Issue number | 2 |
DOIs | |
Publication status | Published - Oct 13 2015 |
Keywords
- Hausdorff dimension
- Maximal entropy
- Symbolic dynamics
ASJC Scopus subject areas
- Mathematics(all)