Title	Endpoints of disjoint Geodesics in the directed Landscape
Creator	Bates, Erik
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2020-06-11T11:30
Description	Brownian last passage percolation (LPP) has proved a fruitful arena for understanding the geometry of geodesics, or "polymers", arising in models within the Kardar--Parisi--Zhang universality class. The recent construction by Dauvergne, Ortmann, and VirÃ¡g of a scaling limit for Brownian LPP---the directed landscape---offers a setting in which this understanding can be phrased in terms of fractal geometry. Moreover, the measure theoretic "content" of the directed landscape is carried by exceptional space-time points admitting disjoint geodesics. This talk will quantify, in terms of Hausdorff dimension, the size of some of these exceptional sets, thus shedding light on the landscape's rich fractal structure. (Joint work with Shirshendu Ganguly and Alan Hammond.)
Extent	20.0 minutes
Subject	Mathematics; Probability Theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: UC Berkeley
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-12-12
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0395245
URI	http://hdl.handle.net/2429/76759
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

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Endpoints of disjoint Geodesics in the directed Landscape Bates, Erik

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