Hausdorff dimension of sets of generic points for non-statistical dynamical systems
Abstract
Abstract We consider one-dimensional maps with several neutral fixed points that do not admit any physical measures. We show that there is a simplex of measures so that every measure in this simplex has a basin that has full Hausdorff dimension.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Stochastic processes and statistical mechanics
Statistical Mechanics and Entropy
Publication details
- Journal / source
- Ergodic Theory and Dynamical Systems
- Publisher
- Cambridge University Press (CUP)
- Volume
- 46
- Issue
- 9
- Pages
- 2149–2177
- Publication date
- 30 April 2026
- Language
- EN