On the behavior of random linear combinations of Laplace eigenfunctions​

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Description:
There are several questions about the behavior of Laplace eigenfunctions that have proved to be extremely hard to deal with and remain unsolved. Among these are the study of their number of critical points, the study of the size of their zero set, the study of the number of connected components of their zero set, and the study of the topology of such components. A natural approach is to randomize the problem and ask the same questions for the zero sets of random linear combinations of eigenfunctions. In this talk I will present several results in this direction. This talk is based on joint works with Boris Hanin and Peter Sarnak. Non UBC Unreviewed Author affiliation: University of North Carolina, Chapel Hill Postdoctoral
Author(s):
Canzani, Yaiza

Canzani, Yaiza

Source Repository:
UBC cIRcle BIRS Workshop Lecture Videos
Publisher(s):
Banff International Research Station for Mathematical Innovation and Discovery
License:
Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
URL:
http://hdl.handle.net/2429/61936
Publication date:
2017-06-13
Keywords:
Mathematics, Geometry, Partial differential equations, and Differential geometry

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Citation

APA Citation:
Canzani, Y. (2017). On the behavior of random linear combinations of Laplace eigenfunctions​ [Data set]. UBC cIRcle BIRS Workshop Lecture Videos. http://hdl.handle.net/2429/61936
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