Title	On M. dim f(S^1), where f is k-quasiconformal mapping whose dilatation is supported on a sparse set
Creator	Ivrii, Oleg
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-09-20T11:45
Description	In this talk, I will present an estimate for the dimension of a k-quasicircle which is the image of the unit circle under a k-quasiconformal mapping whose dilatation is supported on a union of horoballs located at least a hyperbolic distance R apart. The estimate is sharp up to a multiplicative constant. To motivate the proof, I will first discuss an analogous estimate for the growth of solutions of certain parabolic PDEs given by the Feynman-Kac formula.
Extent	30 minutes
Subject	Mathematics; Several complex variables and analytic spaces; Dynamical systems and ergodic theory; Classical analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Helsinki
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-03-22
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0343299
URI	http://hdl.handle.net/2429/60974
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

Open Collections

BIRS Workshop Lecture Videos