The Discrete Evolution Model of Bak and Sneppen is Conjugate to the Classical Contact Process

被引：0
|
作者：
Christoph Bandt
机构：
[1] University of Greifswald,Institute of Mathematics
来源：
Journal of Statistical Physics | 2005年 / 120卷
关键词：
Contact process; cellular automata; thinning; self-organized criticality; evolution model;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Two fundamental models of critical phenomena are connected. We show that the discrete Bak–Sneppen evolution model is conjugate to the classical contact process. This holds in discrete and continuous time, on all graphs and for random as well as for deterministic choice of neighbors. Thus the extensive theory for the contact process applies to the discrete Bak–Sneppen model, too.
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页码：685 / 693
页数：8
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