Contact Process in a Wedge

Nevena Maric; J. Theodore Cox; Rinaldo B. Schinazi

doi:10.1007/s10955-010-9950-7

Contact Process in a Wedge

Nevena Maric
, J. Theodore Cox
, Rinaldo B. Schinazi

University of Missouri-St. Louis

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

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 (1991).

Original language	American English
Journal	Journal of Statistical Physics
Volume	139
DOIs	https://doi.org/10.1007/s10955-010-9950-7
State	Published - 2010

Disciplines

Physical Sciences and Mathematics

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10.1007/s10955-010-9950-7License: Unspecified

Cite this

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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 (1991).",

author = "Nevena Maric and Cox, \{J. Theodore\} and Schinazi, \{Rinaldo B.\}",

note = "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 (1991).",

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doi = "10.1007/s10955-010-9950-7",

language = "American English",

volume = "139",

journal = "Journal of Statistical Physics",

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AU - Maric, Nevena

AU - Cox, J. Theodore

AU - Schinazi, Rinaldo B.

N1 - 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 (1991).

PY - 2010

Y1 - 2010

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 (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 (1991).

UR - https://arxiv.org/abs/0908.4125

U2 - 10.1007/s10955-010-9950-7

DO - 10.1007/s10955-010-9950-7

M3 - Article

VL - 139

JO - Journal of Statistical Physics

JF - Journal of Statistical Physics

ER -

Contact Process in a Wedge

Abstract

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