Title	Billiard flow and eigenfunction concentration on polyhedra
Creator	Cekic, Mihajlo
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-04-18T16:20
Description	This talk will have a dynamical and an analytical component. On the dynamical side, we will study the properties of the billiard flow on $3$ dimensional convex polyhedra. More precisely, we will study periodic broken geodesics not hitting a neighbourhood of the $1$-skeleton of the boundary (also called ``pockets"). On the analytical side, we will apply these results to prove a quantitative Laplace eigenfunction mass concentration near the pockets, using semiclassical tools and control-theoretic results. This is joint work with B. Georgiev and M. Mukherjee.
Extent	47.0 minutes
Subject	Mathematics; Global analysis, analysis on manifolds; Dynamical systems and ergodic theory; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Max Planck Institute - Bonn
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-10-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0383409
URI	http://hdl.handle.net/2429/71928
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

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