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Analysis & PDE Seminar

“Concentration of Eigenfunctions: Sup-norms and Averages”

In this talk we relate concentration of Laplace eigenfunctions 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 the concentration of those eigenfunctions with maximal growth. We then exploit this characterization to derive geometric conditions under which maximal growth cannot occur.


Analysis & PDE Seminar
Jeff Galkowski (Stanford)
April 30, 2018
4:00 PM - 5:00 PM
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Math 384-I
Stanford University Department of Mathematics
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