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Some measure theory on stacks of graphs

Jack Morava

cond-mat.stat-mecharXiv:cond-mat/0610023

Abstract

We apply a theorem of Wick to rewrite certain classes of exponential measures on random graphs as integrals of Feynman-Gibbs type, on the real line. The analytic properties of these measures can then be studied in terms of phase transitions; spaces of scale-free trees are a particularly interesting example.

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