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A phase diagram for a stochastic reaction diffusion system
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  • Published: 19 March 2010

A phase diagram for a stochastic reaction diffusion system

  • Carl Mueller1 &
  • Roger Tribe2 

Probability Theory and Related Fields volume 149, pages 561–637 (2011)Cite this article

  • 193 Accesses

  • 5 Citations

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Abstract

In this paper a stochastic reaction diffusion system is considered, which models the spread of a finite population reacting with a non-renewable resource in the presence of individual based noise. A two-parameter phase diagram is established to describe the large time evolution, distinguishing between certain death or possible life of the population.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Rochester, Rochester, NY, 14627, USA

    Carl Mueller

  2. Mathematics Institute, Zeeman Building, University of Warwick, Coventry, CV4 7AL, UK

    Roger Tribe

Authors
  1. Carl Mueller
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  2. Roger Tribe
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Correspondence to Roger Tribe.

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Mueller, C., Tribe, R. A phase diagram for a stochastic reaction diffusion system. Probab. Theory Relat. Fields 149, 561–637 (2011). https://doi.org/10.1007/s00440-010-0265-z

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  • Received: 05 January 2009

  • Revised: 07 August 2009

  • Published: 19 March 2010

  • Issue Date: April 2011

  • DOI: https://doi.org/10.1007/s00440-010-0265-z

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Keywords

  • Stochastic PDE
  • Dawson–Watanabe process
  • Exit measures
  • Phase diagram
  • Oriented percolation

Mathematics Subject Classification (2000)

  • 60H12
  • 35K57
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