Contact process in a wedge

Theodore T. Cox; Nevena Marić; Rinaldo Schinazi

doi:10.1007/s10955-010-9950-7

Contact process in a wedge

Theodore T. Cox, Nevena Marić, Rinaldo Schinazi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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).

Original language	English (US)
Pages (from-to)	506-517
Number of pages	12
Journal	Journal of Statistical Physics
Volume	139
Issue number	3
DOIs	https://doi.org/10.1007/s10955-010-9950-7
State	Published - May 2010

Keywords

Contact process
Grass-bushes-trees

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/s10955-010-9950-7

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title = "Contact process in a wedge",

abstract = "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).",

keywords = "Contact process, Grass-bushes-trees",

author = "Cox, {Theodore T.} and Nevena Mari{\'c} and Rinaldo Schinazi",

note = "Funding Information: J.T. Cox was supported in part by NSF Grant No. 0803517. N. Mari{\'c} was supported in part by NSF Grant No. 0803517. R. Schinazi was supported in part by NSF Grant No. 0701396.",

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AU - Cox, Theodore T.

AU - Marić, Nevena

AU - Schinazi, Rinaldo

N1 - Funding Information: J.T. Cox was supported in part by NSF Grant No. 0803517. N. Marić was supported in part by NSF Grant No. 0803517. R. Schinazi was supported in part by NSF Grant No. 0701396.

PY - 2010/5

Y1 - 2010/5

N2 - 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).

AB - 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).

KW - Contact process

KW - Grass-bushes-trees

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ER -

Contact process in a wedge

Abstract

Keywords

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