Eigenvalue Asymptotics near a flat band in presence of a slowly decaying potential

2024/11/02 by Pablo Miranda, Miranda, Pablo, Daniel Parra +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2411.01335

openalex publication_date 2024/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide eigenvalue asymptotics for a Dirac-type operator on \mathbb Zⁿ, n≥ 2, perturbed by multiplication operators that decay as |μ|^-γ with γ

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