The spectral dimension of random trees
Copyright policy )The spectral dimension of random trees
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.
14 pages, 2 eps figures, revtex4. Revised version: changes in section IV
- University of Milan Italy
- University of Milano-Bicocca Italy
High Energy Physics - Theory, Combinatorial probability, High Energy Physics - Theory (hep-th), Statistical geometry, Condensed Matter (cond-mat), Random graphs (graph-theoretic aspects), FOS: Physical sciences, Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics, Condensed Matter, Trees
High Energy Physics - Theory, Combinatorial probability, High Energy Physics - Theory (hep-th), Statistical geometry, Condensed Matter (cond-mat), Random graphs (graph-theoretic aspects), FOS: Physical sciences, Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics, Condensed Matter, Trees
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