The spectral dimension of random trees
Condensed Matter
2008-11-26 v2 High Energy Physics - Theory
Abstract
We present a simple yet rigorous approach to the determination of the spectral dimension of random trees, based on the study of the massless limit of the Gaussian model on such trees. As a byproduct, we obtain evidence in favor of a new scaling hypothesis for the Gaussian model on generic bounded graphs and in favor of a previously conjectured exact relation between spectral and connectivity dimensions on more general tree-like structures.
Cite
@article{arxiv.cond-mat/0206233,
title = {The spectral dimension of random trees},
author = {C. Destri and L. Donetti},
journal= {arXiv preprint arXiv:cond-mat/0206233},
year = {2008}
}
Comments
14 pages, 2 eps figures, revtex4. Revised version: changes in section IV