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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, 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.
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URN: urn:nbn:se:kth:diva-161112DOI: 10.1016/j.crma.2014.09.026ISI: 000349200000003ScopusID: 2-s2.0-84921048169OAI: diva2:797150
Swedish Research Council, 621-2011-5498EU, FP7, Seventh Framework Programme, 335141

QC 20150323

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

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Kurlberg, Pär
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