TREE-BASED MODELS FOR RANDOM DISTRIBUTION OF MASS

被引：58

作者：

ALDOUS, D

机构：

[1] Department of Statistics, University of California, Berkeley, 94720, California

来源：

JOURNAL OF STATISTICAL PHYSICS | 1993年 / 73卷 / 3-4期

关键词：

SPATIAL DISTRIBUTION; RANDOM TREE; SUPERBROWNIAN PROCESS; LARGE DEVIATIONS; RECURSIVE SELF-SIMILARITY;

D O I：

10.1007/BF01054343

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A mathematical model for distribution of mass in d-dimensional space, based upon randomly embedding random trees into space, is introduced and studied. The model is a variant of the super Brownian motion process studied by mathematicians. We present calculations relating to (i) the distribution of position of a typical mass element, (ii) moments of the center of mass, (iii) large-deviation behavior, and (iv) a recursive self-similarity property.

引用

页码：625 / 641

页数：17

共 29 条

[1] THE CONTINUUM RANDOM TREE-III [J].