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From Yang-Baxter equation to Markov maps Petrov, Leonid

Description

The Yang-Baxter equation states equality of certain local partition functions of a vertex model. If the terms of the Yang-Baxter equation are nonnegative, we can turn it into a a Markov map, which randomly maps objects from one side of the identity into objects on the other side. This idea brings a number of nice applications to lozenge tilings and interacting particle systems.

Item Metadata

Title	From Yang-Baxter equation to Markov maps
Creator	Petrov, Leonid
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-11-18T09:01
Description	The Yang-Baxter equation states equality of certain local partition functions of a vertex model. If the terms of the Yang-Baxter equation are nonnegative, we can turn it into a a Markov map, which randomly maps objects from one side of the identity into objects on the other side. This idea brings a number of nice applications to lozenge tilings and interacting particle systems.
Extent	45.0 minutes
Subject	Mathematics; Probability Theory And Stochastic Processes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Virginia
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-05-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0390890
URI	http://hdl.handle.net/2429/74492
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Item Media

201911180901-Petrov_lrv.mp4 -- 194.18MB

Item Citations and Data

Rights

Attribution-NonCommercial-NoDerivatives 4.0 International