Entropy Density of Ergodic Nonadapted Measures for Markov Interval Maps
Dynamical Systems
2026-02-23 v1
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 -metric. This set of measures is also shown to be path connected in many cases.
Cite
@article{arxiv.2602.18366,
title = {Entropy Density of Ergodic Nonadapted Measures for Markov Interval Maps},
author = {Łukasz Krzywoń},
journal= {arXiv preprint arXiv:2602.18366},
year = {2026}
}
Comments
13 pages, 4 figures