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The Gaussian free field and Hadamard's variational formula
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0002-4971-7147
2014 (English)In: Probability theory and related fields, ISSN 0178-8051, E-ISSN 1432-2064, Vol. 159, no 1-2, 61-73 p.Article in journal (Refereed) Published
Abstract [en]

We relate the Gaussian free field on a planar domain to the variational formula of Hadamard which explains the change of the Green function under a perturbation of the domain. This is accomplished by means of a natural integral operator-called the Hadamard operator-associated with a given flow of growing domains.

Place, publisher, year, edition, pages
2014. Vol. 159, no 1-2, 61-73 p.
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-147034DOI: 10.1007/s00440-013-0501-4ISI: 000335900500002Scopus ID: 2-s2.0-84900473387OAI: oai:DiVA.org:kth-147034DiVA: diva2:728510
Funder
Swedish Research Council
Note

QC 20140624

Available from: 2014-06-24 Created: 2014-06-23 Last updated: 2017-12-05Bibliographically approved

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Hedenmalm, Håkan

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