比利时vs摩洛哥足彩
,
university of california san diego
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math 248 - analysis seminar
jeffrey galkowski
northeastern univ.
concentration and growth of laplace eigenfunctions
abstract:
in this talk we will discuss a new approach to understanding eigenfunction concentration. we characterize the features that cause an eigenfunction to saturate the standard supremum bounds in terms of the distribution of $l^2$ mass along geodesic tubes emanating from a point. we also show that the phenomena behind extreme supremum norm growth is identical to that underlying extreme growth of eigenfunctions when averaged along submanifolds. finally, we use these ideas to understand a variety of measures of concentration including high $l^p$ norms and weyl laws; in each case obtaining quantitative improvements over the known bounds.
host: jacob sterbenz
january 31, 2019
10:00 am
ap&m 7321
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