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Non-universality of the Nazarov-Sodin constant
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0003-4734-5092
2015 (English)In: Comptes rendus. Mathematique, ISSN 1631-073X, E-ISSN 1778-3569, Vol. 353, no 2, 101-104 p.Article in journal (Refereed) Published
Abstract [en]

We prove that the Nazarov-Sodin constant, which up to a natural scaling gives the leading order growth for the expected number of nodal components of a random Gaussian field, genuinely depends on the field. We then infer the same for "arithmetic random waves", i.e. random toral Laplace eigenfunctions.

Place, publisher, year, edition, pages
2015. Vol. 353, no 2, 101-104 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-161112DOI: 10.1016/j.crma.2014.09.026ISI: 000349200000003Scopus ID: 2-s2.0-84921048169OAI: oai:DiVA.org:kth-161112DiVA: diva2:797150
Funder
Swedish Research Council, 621-2011-5498EU, FP7, Seventh Framework Programme, 335141
Note

QC 20150323

Available from: 2015-03-23 Created: 2015-03-09 Last updated: 2017-12-04Bibliographically approved

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Kurlberg, Pär

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