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arXiv · 1908.06456

Harmonic Analysis of Symmetric Random Graphs

Steffen Lauritzen
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Abstract

This note attempts to understand graph limits as defined by Lovasz and Szegedy (2006)} in terms of harmonic analysis on semigroups. This is done by representing probability distributions of random exchangeable graphs as mixtures of characters on the semigroup of unlabeled graphs with node-disjoint union, thereby providing an alternative derivation of de Finetti's theorem for random exchangeable graphs.

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Steffen Lauritzen. 2019-08-18. Harmonic Analysis of Symmetric Random Graphs. https://arxiv.org/abs/1908.06456

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