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Description:: We introduce empirical measures to study the $L^2$ norms of restrictions of quantum integrable eigenfunctions to the unique rotationally invariant geodesic $H$ on a convex surface of revolution. The weak* limit of these measures describes the dependence of their size on $H$ in terms of the angular momentum. The limit...
Keyword:: convex surface of revolution, asymptotics, eigenfunctions, empirical measure, and spectrum
Subject:: Mathematics
Creator:: Geis, Michael Leamy
Owner:: Scholarly Digital Publishing
Language:: en
Date Uploaded:: 09/22/2022
Date Created:: 2022-01-01
Resource Type:: Dissertation
Alternate Identifier:: http://dissertations.umi.com/northwestern:16276 and etdadmin_upload_929536

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