Clock statistics for 1d Schrödinger operators

2016/05/28 by Victor Chulaevsky, Chulaevsky, Victor, Fumihiko Nakano +1
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Probability (math.PR) #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1605.08825

openalex publication_date 2016/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the 1d Schrödinger operators with alloy type random supercritical decaying potential and prove the clock convergence for the local statistics of eigenvalues. We also consider, besides the standard i.i.d. case, more general ones with exponentially decaying correlations.

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