The spectral characteristics of the Sturm Hamiltonian with eventually periodic type
Dynamical Systems
2025-05-02 v1
Abstract
In this paper we consider the spectral characteristics of the Sturm Hamiltonian with eventually periodic type frequencies under large coupling and establish strict inequalities between the optimal H\"older exponent of the density of states measure, the dimension of the density of states measure, the dimension of the spectrum, and the transport exponent by analyzing the thermodynamic pressure function. Also, we provide the large coupling asymptotic properties of the four spectral characteristics.
Keywords
Cite
@article{arxiv.2505.00328,
title = {The spectral characteristics of the Sturm Hamiltonian with eventually periodic type},
author = {Jie Cao and Zhenyu Yu},
journal= {arXiv preprint arXiv:2505.00328},
year = {2025}
}