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
收藏
页码：3054 / 3081
页数：28
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