The Gaussian free field and Hadamard's variational formula

DOI10.1007/s00440-013-0501-4zbMath1302.60134arXiv1201.0377OpenAlexW2093482417WikidataQ59288379 ScholiaQ59288379MaRDI QIDQ2249582

Pekka J. Nieminen, Haakan Hedenmalm

Publication date: 2 July 2014

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.0377

zbMATH Keywords

Gaussian free fieldplanar domainHadamard variational formula

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Related Items (5)

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• Hadamard's formula and couplings of SLEs with free field
• Gaussian free fields for mathematicians
• A partial differential equation arising in conformal mapping
• Gaussian Hilbert Spaces
• A biharmonic maximum principle for hyperbolic surfaces
• Theory of Reproducing Kernels

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