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arXiv:1201.0377 [math.PR]AbstractReferencesReviewsResources

The Gaussian free field and Hadamard's variational formula

Haakan Hedenmalm, Pekka J. Nieminen

Published 2012-01-01, updated 2012-03-23Version 2

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 related to Hadamard's formula.

Comments: 9 pages
Categories: math.PR, math.FA
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