Long-range disassortative correlations in generic random trees
Statistical Mechanics
2010-05-04 v3 Other Condensed Matter
Abstract
We explicitly calculate the distance dependent correlation functions in a maximal entropy ensemble of random trees. We show that correlations remain disassortative at all distances and vanish only as a second inverse power of the distance. We discuss in detail the example of scale-free trees where the diverging second moment of the degree distribution leads to some interesting phenomena.
Cite
@article{arxiv.0909.2764,
title = {Long-range disassortative correlations in generic random trees},
author = {Piotr Bialas and Andrzej K. Oleś},
journal= {arXiv preprint arXiv:0909.2764},
year = {2010}
}
Comments
Revised according to referee comments; 7 pages and 7 figures.