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math-ph2025
Log-Hausdorff multifractality of the absolutely continuous spectral measure of the almost Mathieu operator
Jie Cao, Xianzhe Li, Baowei Wang +1
This paper focuses on the fractal characteristics of the absolutely continuous spectral measure of the subcritical almost Mathieu operator (AMO) and Diophantine frequency. In parti…
math.DS2025
Equilibrium States, Zero Temperature Limits and Entropy Continuity for Almost-Additive Potentials
Jie Cao
This paper is devoted to study the equilibrium states for almost-additive potentials defined over topologically mixing countable Markov shifts (that is a non-compact space) without…
math.DS2025
The spectral characteristics of the Sturm Hamiltonian with eventually periodic type
Jie Cao, Zhenyu Yu
In this paper we consider the spectral characteristics of the Sturm Hamiltonian with eventually periodic type frequencies under large coupling and establish strict inequalities bet…