The statistical geometry of scale-free random trees
Other Condensed Matter
2009-11-10 v2
Abstract
The properties of scale-free random trees are investigated using both preconditioning on non-extinction and fixed size averages, in order to study the thermodynamic limit. The scaling form of volume probability is found, the connectivity dimensions are determined and compared with other exponents which describe the growth. The (local) spectral dimension is also determined, through the study of the massless limit of the Gaussian model on such trees.
Cite
@article{arxiv.cond-mat/0308624,
title = {The statistical geometry of scale-free random trees},
author = {Luca Donetti and Claudio Destri},
journal= {arXiv preprint arXiv:cond-mat/0308624},
year = {2009}
}
Comments
21 pages, 2 figures, revtex4, minor changes (published version)