Spectral bounds for ergodic Jacobi operators
Spectral Theory
2024-07-09 v1
Abstract
We consider ergodic Jacobi operators and obtain estimates on the Lebesgue measure and the distance between maximum and minimum points of the spectrum in terms of the Lyapunov exponent. Our proofs are based on results from logarithmic potential theory and their connections with spectral theory of Jacobi operators.
Cite
@article{arxiv.2407.04962,
title = {Spectral bounds for ergodic Jacobi operators},
author = {Burak Hatinoğlu},
journal= {arXiv preprint arXiv:2407.04962},
year = {2024}
}