The Gaussian free field and Hadamard's variational formula
成果类型：
Article
署名作者：
Hedenmalm, Haakan; Nieminen, Pekka J.
署名单位：
Royal Institute of Technology; University of Helsinki
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-013-0501-4
发表日期：
2014
页码：
61-73
关键词：
摘要：
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.
来源URL：