An invitation to trees of finite cone type: random and deterministic operators
Spectral Theory
2014-03-19 v1 Mathematical Physics
math.MP
Probability
Abstract
Trees of finite cone type have appeared in various contexts. In particular, they come up as simplified models of regular tessellations of the hyperbolic plane. The spectral theory of the associated Laplacians can thus be seen as induced by geometry. Here we give an introduction focusing on background and then turn to recent results for (random) perturbations of trees of finite cone type and their spectral theory.
Keywords
Cite
@article{arxiv.1403.4426,
title = {An invitation to trees of finite cone type: random and deterministic operators},
author = {Matthias Keller and Daniel Lenz and Simone Warzel},
journal= {arXiv preprint arXiv:1403.4426},
year = {2014}
}
Comments
16 pages, 3 figures