Ballistic Transport for Periodic Jacobi Operators on ℤ^d

2020/11/23 by Jake Fillman, Fillman, Jake
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory (math.SP) #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.2011.11522

openalex publication_date 2020/11/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this expository work, we collect some background results and give a short proof of the following theorem: periodic Jacobi matrices on ℤ^d exhibit strong ballistic motion.

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