Contact Process in a Wedge

被引：1

作者：

Cox, J. Theodore ^{[2
]}

Maric, Nevena ^{[1
]}

Schinazi, Rinaldo ^{[3
]}

机构：

[1] Univ Missouri, Dept Math & CS, St Louis, MO 63121 USA

[2] Syracuse Univ, Dept Math, Syracuse, NY 13244 USA

[3] Univ Colorado, Dept Math, Colorado Springs, CO 80933 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 2010年 / 139卷 / 03期

基金：

美国国家科学基金会;

关键词：

Contact process; Grass-bushes-trees; BEHAVIOR; LATTICE;

D O I：

10.1007/s10955-010-9950-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that the supercritical one-dimensional contact process survives in certain wedge-like space-time regions, and that when it survives it couples with the unrestricted contact process started from its upper invariant measure. As an application we show that a type of weak coexistence is possible in the nearest-neighbor "grass-bushes-trees" successional model introduced in Durrett and Swindle (Stoch. Proc. Appl. 37:19-31, 1991).

引用

页码：506 / 517

页数：12

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