Title	Random walks on dynamical percolation
Creator	Peres, Yuval
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-10-25T09:04
Description	We study the behavior of random walk on dynamical percolation. In this model, the edges of a graph $G$ are either open or closed and refresh their status at rate $\mu$, while at the same time a random walker moves on $G$ at rate 1, but only along edges which are open. On the $d$-dimensional torus with side length $n$, when the bond parameter is subcritical, we determined (with A. Stauffer and J. Steif) the mixing times for both the full system and the random walker. The supercritical case is harder, but using evolving sets we were able (with J. Steif and P. Sousi) to analyze it for p sufficiently large. The critical and moderately supercritical cases remain open.
Extent	46 minutes
Subject	Mathematics; Probability theory and stochastic processes; Potential theory; Probability / statistical mechanics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Microsoft Research
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-04-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0365976
URI	http://hdl.handle.net/2429/65601
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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