Fixed frequency eigenfunction immersions and supremum norms of random waves
Name
Canzani_2015_Fixed frequency.pdf
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338.63 KB
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Checksum (MD5)
c4e8d56b227d2111b322da1c364f6f08
Author(s)
Hanin, Boris
Canzani, Yaiza
Date Issued
August 2015
Journal
Electronic Research Announcements in Mathematical Sciences
Publisher
American Institute of Mathematical Sciences (AIMS)
Citation
Hanin, Boris, and Yaiza Canzani. “Fixed Frequency Eigenfunction Immersions and Supremum Norms of Random Waves.” ERA-MS 22, no. 0 (January 2015): 76–86. ©
2015 American Institute of Mathematical Sciences
Version
Final published version
Abstract
A compact Riemannian manifold may be immersed into Euclidean space by using high frequency Laplace eigenfunctions. We study the geometry of the manifold viewed as a metric space endowed with the distance function from the ambient Euclidean space. As an application we give a new proof of a result of Burq-Lebeau and others on upper bounds for the sup-norms of random linear combinations of high frequency eigenfunctions.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.3934/era.2015.22.76
