BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Concentration of Eigenfunctions: Sup-norms and Averages Galkowski, Jeff


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. Moreover, we obtain quantitative gains in a variety of geometric settings.

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