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Igor Pak: Burnside processes on graphs and contingency tables

Tid: Fr 2020-01-31 kl 14.30 - 15.20

Plats: Institut Mittag-Leffler, Seminar Hall Kuskvillan

Medverkande: Igor Pak, University of California, UCLA

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Abstract

Burnside processes are defined by Jerrum to sample random orbits of the finite group action. In this talk I will show how Burnside processes allow fast sampling of random contingency tables, random graphs with fixed degree conditions, and other related combinatorial objects. I will also review their mixing time analysis, our empirical results, and present some probabilistic applications. Joint work with Sam Dittmer.