Density of periodic measures for piecewise monotonic maps
Dynamical Systems
2023-11-30 v2
Abstract
We show that any ergodic measure for a piecewise monotonic map with positive metric entropy is approximated by periodic measures in the weak-* sense. This partially answers Hofbauer-Raith's conjecture.
Keywords
Cite
@article{arxiv.2311.03856,
title = {Density of periodic measures for piecewise monotonic maps},
author = {Ryuji Tazume},
journal= {arXiv preprint arXiv:2311.03856},
year = {2023}
}
Comments
6 pages