English

Ballistic Transport for Periodic Jacobi Operators on $\mathbb{Z}^d$

Spectral Theory 2020-11-24 v1 Mathematical Physics math.MP

Abstract

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

Cite

@article{arxiv.2011.11522,
  title  = {Ballistic Transport for Periodic Jacobi Operators on $\mathbb{Z}^d$},
  author = {Jake Fillman},
  journal= {arXiv preprint arXiv:2011.11522},
  year   = {2020}
}

Comments

8 pages

R2 v1 2026-06-23T20:26:58.200Z