On the Density of Periodic Measures for Star Vector Fields
Dynamical Systems
2026-02-06 v1
Abstract
In this paper, we prove that every ergodic hyperbolic invariant measure of a star vector field can be approximated by periodic measures in weak topology. This extends a classical result of Katok \cite{Ka} for diffeomorphisms to star vector field of any dimension.
Cite
@article{arxiv.2602.05402,
title = {On the Density of Periodic Measures for Star Vector Fields},
author = {Qimai Sun and Guangwa Wang and Wanlou Wu},
journal= {arXiv preprint arXiv:2602.05402},
year = {2026}
}