Self-similar Random Fields and Rescaled Random Balls Models
نویسندگان
چکیده
منابع مشابه
Self-similar Random Fields and Rescaled Random Balls Models
We study generalized random fields which arise as rescaling limits of spatial configurations of uniformly scattered random balls as the mean radius of the balls tends to 0 or infinity. Assuming that the radius distribution has a power law behavior, we prove that the centered and re-normalized random balls field admits a limit with spatial dependence and self-similarity properties. In particular...
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2009
ISSN: 0894-9840,1572-9230
DOI: 10.1007/s10959-009-0259-x