Ergodic measures of intermediate entropies for dynamical systems with the approximate product property
Dynamical Systems
2022-10-03 v6
Abstract
For a dynamical system satisfying the approximate product property and asymptotically entropy expansiveness, we characterize a delicate structrue of the space of invariant measures: The ergodic measures of intermediate entropies and intermediate pressures are generic in certain subspaces. This proves a conjecture of Katok for a broad class of systems and extends a sequence of known results.
Keywords
Cite
@article{arxiv.1906.09862,
title = {Ergodic measures of intermediate entropies for dynamical systems with the approximate product property},
author = {Peng Sun},
journal= {arXiv preprint arXiv:1906.09862},
year = {2022}
}