Entropy Density of Ergodic Nonadapted Measures for Markov Interval Maps
Abstract
Given a uniformly expanding transitive Markov interval map, we show that within the set of ergodic measures the set of nonadapted ergodic measures is residual in with respect to the topology induced by the $\overline{d}$-metric. This set of measures is also shown to be path connected in many cases.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
p-Adic Analysis and Mathematical Physics
Advanced Topology and Set Theory
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 20 February 2026
- Language
- EN
- Document type
- Preprint