Self-similar fragmentations

被引：98

作者：

Bertoin, J

机构：

[1] Univ Paris 06, Lab Probabil & Modeles Aleatoires, F-75013 Paris, France

[2] Univ Paris 06, Inst Univ France, F-75013 Paris, France

[3] CNRS, UMR 7599, F-75013 Paris, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2002年 / 38卷 / 03期

关键词：

fragmentation; self-similar; exchangeable partition;

D O I：

10.1016/S0246-0203(00)01073-6

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We introduce a probabilistic model that is meant to describe an object that falls apart randomly as time passes and fulfills a certain scaling property. We show that the distribution of such a process is determined by its index of self-similarity 0( E R, a rate of erosion c greater than or equal to. 0, and a so-called Levy measure that accounts for sudden dislocations. The key of the analysis is provided by a transformation of self-similar fragmentations which enables us to reduce the study to the homogeneous case alpha = 0 which is treated in [6]. (C) 2002 Editions scientifiques et medicales Elsevier SAS.

引用

页码：319 / 340

页数：22

共 15 条

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