Polymer models, cluster expansion, and local limit theorems: counting independent sets in the hypercube

Will Perkins (Chicago)

02-Jul-2021, 13:00-14:00 (3 years ago)

Abstract: I'll discuss how local central limit theorems can be used in combination with two tools from statistical physics, polymer models and the cluster expansion, to asymptotically enumerate independent sets of a given size in the hypercube. Joint work with Matthew Jenssen and Aditya Potukuchi (arxiv:2106.09709)

combinatorics

Audience: researchers in the topic


Warwick Combinatorics Seminar

Series comments: This is the online combinatorics seminar at Warwick.

Organizers: Jan Grebik, Oleg Pikhurko
Curator: Hong Liu*
*contact for this listing

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