Title	Dispersive Quantization of Linear and Nonlinear Waves
Creator	Olver, Peter
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-16T09:56
Description	The evolution, through spatially periodic linear dispersion, of rough initial data leads to surprising quantized structures at rational times, and fractal, non-differentiable profiles at irrational times. The Talbot effect, named after an optical experiment by one of the founders of photography, was first observed in optics and quantum mechanics, and leads to intriguing connections with exponential sums arising in number theory. Ramifications of these phenomena and recent progress on the analysis, numerics, and extensions to nonlinear wave models, both integrable and non-integrable, will be discussed.
Extent	49 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Ordinary differential equations; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Minnesota
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2016-12-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340389
URI	http://hdl.handle.net/2429/60034
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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