Finite and full scale localization for the multi-frequency quasi-periodic CMV matrices

2025/02/22 by Bei Zhang, Zhang, Bei, Daxiong Piao +1
Computer Science · Engineering · #2010: 37A30 #42C05 #70G60 #Bladed Disk Vibration Dynamics #FOS: Mathematics #Optical measurement and interference techniques #Spectral Theory (math.SP) #Structural Health Monitoring Techniques

paper · pdf · doi:10.48550/arxiv.2503.08758

openalex publication_date 2025/02/22 · openalex created_date 2025/10/13 · openalex updated_date 2026/07/28

Abstract

This paper formulates the finite and full-scale localization for multi-frequency quasi-periodic CMV matrices. This can be viewed as the CMV counterpart to the localization results by Goldstein, Schlag, and Voda [arXiv:1610.00380 (math.SP], Invent. Math. 217 (2019)) on multi-frequency quasi-periodic Schrödinger operators.

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