ON THE STRUCTURE OF ABSOLUTE STEADY-STATES IN SANDPILE TYPE OF CELLULAR-AUTOMATA - THE GEOMETRICAL ASPECT

被引：3

作者：

CHUNG, SK

CHAU, HF

机构：

[1] UNIV ILLINOIS,DEPT PHYS,1110 W GREEN ST,URBANA,IL 61801

[2] UNIV ILLINOIS,DEPT MATH,URBANA,IL 61801

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1993年 / 34卷 / 09期

关键词：

D O I：

10.1063/1.530022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

It is proved that all bounded subsets of R(n) with nonempty interior are cutable. Also found is an if and only if classification of when a nontrivial absolute steady state (ASS) of the sandpile-type cellular automata model will exist. The classification helps one to narrow down the geometrical structure of the ASS and is applicable to both Abelian and non-Abelian models. It is important for the future studies of self-organized criticality.

引用

页码：4014 / 4024

页数：11

共 9 条

[1]

APOSTOL TM, 1976, MODULAR FUNCTIONS DI

[2] SELF-ORGANIZED CRITICALITY [J].