The geometry of a parameter space of interacting particle systems

被引：4

作者：

Bandt, C

机构：

[1] Institut für Mathematik und Informatik,

[2] Arndt-Universität,undefined

来源：

JOURNAL OF STATISTICAL PHYSICS | 1999年 / 96卷 / 3-4期

关键词：

Interacting particle system; duality; thinning;

D O I：

10.1023/A:1004614827017

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study a four-parameter family of interacting particle systems containing the basic voter model and contact processes. Two processes in this family are related by duality or thinning if and only if their parameters belong to the same orbit of a certain one-dimensional group of linear mappings. This shows that many duals exist.

引用

页码：883 / 906

页数：24

共 17 条

[1]

[Anonymous], MODERN APPROACH PROB

[2] LIMITING POINT-PROCESSES FOR RESCALINGS OF COALESCING AND ANNIHILATING RANDOM-WALKS ON ZD [J].