Title	ConcentrationÂ ofÂ Eigenfunctions: Sup-norms and Averages
Creator	Galkowski, Jeff
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-07-16T08:59
Description	In this talk we relateÂ concentrationÂ of LaplaceÂ eigenfunctionsÂ in position and momentum to sup-norms and submanifold averages. In particular, we present a unified picture for sup-norms and submanifold averages which characterizes theÂ concentrationÂ of thoseÂ eigenfunctionsÂ with maximal growth. We then exploit this characterization to derive geometric conditions under which maximal growth cannot occur. Moreover, we obtain quantitative gains in a variety of geometric settings.
Extent	54.0
Subject	Mathematics; Quantum theory; Global analysis, analysis on manifolds; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stanford University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-13
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376831
URI	http://hdl.handle.net/2429/68665
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