Year: 2026
Type: preprint
Abstract: We prove that for any given frequency resonance exponent and phase resonance exponent, there exist a frequency and a phase exactly realizing these values such that the Almost Mathieu operator exhibits Anderson localization for $\ln|λ|>\max\{β(α),δ(α,θ)\}$. This resolves the conjecture in \cite{MR4686650}.
Source: arXiv (Cornell University)
Authors: He, Jiawei, Wang, Xueyin
Institution: Texas A&M University
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: 非解析位势薛定谔算子谱的行为及其应用
OpenAlex ID: W7204572211
Cites:
Cited by:
Related to: