GAUSSIAN MULTIPLICATIVE CHAOS REVISITED
成果类型：
Article
署名作者：
Robert, Raoul; Vargas, Vincent
署名单位：
Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA); Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI)
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/09-AOP490
发表日期：
2010
页码：
605-631
关键词：
摘要：
In this article, we extend the theory of multiplicative chaos for positive definite functions in R-d of the form f(x) = lambda(2) In+ R/vertical bar x vertical bar + g(r), where g is a continuous and bounded function. The construction is simpler and more general than the one defined by Kahane in [Am. Sci. Math. Quebec 9 (1985) 105-150]. As a main application, we provide a rigorous mathematical meaning to the Kolmogorov-Obukhov model of energy dissipation in a turbulent flow.
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