Title	Minkowski content and exceptional sets for Brownian paths
Creator	Lawler, Greg
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-10-24T15:33
Description	Hausdorff measure is often used to measure fractal sets. However, there is a more natural quantity, Minkowski content, which more closely matches the scaling limit of discrete counting measures and is closely related to the idea of local time. I will discuss this in the context of several sets for which Chris Burdzy made fundamental contributions: cut points for Brownian paths and outer boundary of two-dimensional Brownian motion. The latter is closely related to the Schramm-Loewner evolution (SLE). I will include joint work with Mohammad Rezaei and recent work with Nina Holden, Xinyi Li, and Xin Sun.
Extent	42 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: University of Chicago
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2018-04-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0365954
URI	http://hdl.handle.net/2429/65567
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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