Gaussian Fields Satisfying Simultaneous Operator Scaling Relations

被引：5
作者：
Clausel, Marianne [1 ]
机构：
[1] Univ Paris 12, F-94010 Creteil, France
来源：
RECENT DEVELOPMENTS IN FRACTALS AND RELATED FIELDS | 2010年
关键词：
D O I：
10.1007/978-0-8176-4888-6_21
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this chapter we define a special class of group of self-similar Gaussian fields. We present a harmonizable representation of m-parameter group self-similar Gaussian fields by utilizing the Haar measure of this group. These fields also have stationary rectangular increments according to special directions linked to coreduction of matrices of the considered m-parameter group.
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收藏
页码：327 / 341
页数：15
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