ANALYSIS/MATHEMATICAL PHYSICS SEMINAR

Submitted by admin on Wed, 01/09/2013 - 19:01
Generic Local $L^\infty$-Bounds for Conformal Families of Laplace Operators
John Toth
McGill University
Date & Time: 
Fri, 01/28/2011 - 14:00 - 15:00
Location: 
S-101

Let (M,g) be a compact, closed manifold and g_u be a family of conformal metric deformations of g supported in a small ball B(\delta) of radius \delta>0. We show that for a class of such deformations, the corresponding Laplace eigenfunctions almost surely have L^\infty-bounds in B(\delta) that are consistent with random wave predictions.

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