Title	Phase transition of capacity for uniform \(G_{\delta}\) sets
Creator	Quintino, Fernando
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-09-19T13:32
Description	We study the capacity of a uniform \(G_{\delta}\) set. Changing the speed at which the lengths of intervals generating it decrease, we observe a sharp phase transition from full to zero capacity. Such a $G_{\delta}$ set is also interesting because it can be considered as a model case for the set of exceptional energies in the parametric version of the Furstenberg theorem. In the talk, we will demonstrate the techniques used and as well as some interesting capacity-related examples.
Extent	44.0 minutes
Subject	Mathematics; Operator theory; Dynamical systems and ergodic theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California Irvine
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2020-09-08
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0394240
URI	http://hdl.handle.net/2429/75897
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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