Lyapunov maximizing measures for balanced pairs of matrices
Dynamical Systems
2025-12-16 v2
Abstract
We show that every balanced pair (see Definition 1.1) of real matrices admits a unique Lyapunov maximizing measure, and the measure is always Sturmian.
Keywords
Cite
@article{arxiv.2512.07340,
title = {Lyapunov maximizing measures for balanced pairs of matrices},
author = {Rui Gao},
journal= {arXiv preprint arXiv:2512.07340},
year = {2025}
}
Comments
17 pages, minor corrections