Eigenfunctions with Infinitely Many Isolated Critical Points

Author(s): Buhovsky, Lev; Logunov, Aleksandr; Sodin, Mikhail

Download

To refer to this page use: http://arks.princeton.edu/ark:/88435/pr1wh2df1c

Full metadata record

DC Field	Value	Language
dc.contributor.author	Buhovsky, Lev	-
dc.contributor.author	Logunov, Aleksandr	-
dc.contributor.author	Sodin, Mikhail	-
dc.date.accessioned	2023-12-27T20:36:18Z	-
dc.date.available	2023-12-27T20:36:18Z	-
dc.date.issued	2020-12	en_US
dc.identifier.citation	Buhovsky, Lev, Logunov, Alexander, Sodin, Mikhail. (2020). Eigenfunctions with Infinitely Many Isolated Critical Points. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020 (10100 - 10113. doi:10.1093/imrn/rnz181	en_US
dc.identifier.issn	1073-7928	-
dc.identifier.uri	http://arks.princeton.edu/ark:/88435/pr1wh2df1c	-
dc.description.abstract	We construct a Riemannian metric on the 2D torus, such that for infinitely many eigen-values of the Laplace-Beltrami operator, a corresponding eigenfunction has infinitely many isolated critical points. A minor modification of our construction implies that each of these eigenfunctions has a level set with infinitely many connected components (i.e., a linear combination of two eigenfunctions may have infinitely many nodal domains).	en_US
dc.format.extent	10100 - 10113	en_US
dc.language.iso	en_US	en_US
dc.relation.ispartof	INTERNATIONAL MATHEMATICS RESEARCH NOTICES	en_US
dc.rights	Author's manuscript	en_US
dc.title	Eigenfunctions with Infinitely Many Isolated Critical Points	en_US
dc.type	Journal Article	en_US
dc.identifier.doi	doi:10.1093/imrn/rnz181	-
dc.date.eissued	2019-09-10	en_US
dc.identifier.eissn	1687-0247	-
pu.type.symplectic	http://www.symplectic.co.uk/publications/atom-terms/1.0/journal-article	en_US

Files in This Item:

File	Description	Size	Format
1811.03835.pdf		1.35 MB	Adobe PDF	View/Download