Year: 2025
Type: preprint
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 Hölder 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.
Source: arXiv (Cornell University)
Authors: Cao, Jie, Yu, Zhenyu
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Nankai Zhide Foundation
OpenAlex ID: W6979283377
Cites:
Cited by:
Related to: