The Gaussian free field and Hadamard’s variational formula

被引：0
|
作者：
Haakan Hedenmalm
Pekka J. Nieminen
机构：
[1] KTH Royal Institute of Technology,Department of Mathematics
[2] University of Helsinki,Department of Mathematics and Statistics
来源：
Probability Theory and Related Fields | 2014年 / 159卷
关键词：
60K35; 30C70;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：61 / 73
页数：12
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