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Interacting Polya Urns - Statistical Mechanics Beyond 2D

Offered By: Institute for Pure & Applied Mathematics (IPAM) via YouTube

Tags

Statistical Mechanics Courses Combinatorics Courses Graph Theory Courses Mathematical Modeling Courses Stochastic Processes Courses Probability Theory Courses

Course Description

Overview

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Explore the fascinating world of interacting Polya urns in this 53-minute lecture presented by Omer Angel from the University of British Columbia at IPAM's Statistical Mechanics Beyond 2D Workshop. Delve into various models of interacting Polya urns associated with vertices or edges of a graph, examining their asymptotic behavior, including unbounded growth of colors and convergence to equilibrium. Gain insights from joint works with Hermon, Holmes, and Yao as Angel discusses this intriguing topic in statistical mechanics. Recorded on May 9, 2024, at the Institute for Pure & Applied Mathematics (IPAM) at UCLA, this talk offers a deep dive into advanced mathematical concepts for those interested in statistical mechanics and graph theory.

Syllabus

Omer Angel - Interacting Polya urns - IPAM at UCLA


Taught by

Institute for Pure & Applied Mathematics (IPAM)

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