Anderson Localization for Radial Tree Graphs With Random Branching Numbers
Spectral Theory
2018-03-19 v1 Mathematical Physics
Dynamical Systems
math.MP
Abstract
We prove Anderson localization for the discrete Laplace operator on radial tree graphs with random branching numbers. Our method relies on the representation of the Laplace operator as the direct sum of half-line Jacobi matrices whose entries are non-degenerate, independent, identically distributed random variables with singular distributions.
Cite
@article{arxiv.1803.06037,
title = {Anderson Localization for Radial Tree Graphs With Random Branching Numbers},
author = {David Damanik and Selim Sukhtaiev},
journal= {arXiv preprint arXiv:1803.06037},
year = {2018}
}
Comments
12 pages