The divisible sandpile with heavy-tailed variables

被引：3

作者：

Cipriani, Alessandra ^{[1
]}

Hazra, Rajat Subhra ^{[2
]}

Ruszel, Wioletta M. ^{[3
]}

机构：

[1] Univ Bath, Bath, Avon, England

[2] Indian Stat Inst, Kolkata, India

[3] Delft Univ Technol, Delft, Netherlands

来源：

STOCHASTIC PROCESSES AND THEIR APPLICATIONS | 2018年 / 128卷 / 09期

基金：

英国工程与自然科学研究理事会;

关键词：

Divisible sandpile; Heavy-tailed variables; alpha-stable random distribution; ENTROPIC REPULSION; BANACH-SPACES; MODELS;

D O I：

10.1016/j.spa.2017.10.013

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：

This work deals with the divisible sandpile model when an initial configuration sampled from a heavy-tailed distribution. Extending results of Levine et al. (2015) and Cipriani et al. (2016) we determine sufficient conditions for stabilization and non-stabilization on infinite graphs. We determine furthermore that the scaling limit of the odometer on the torus is an alpha-stable random distribution. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：3054 / 3081

页数：28

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