Renormalization of the two-dimensional Lotka-Volterra model

J. Theodore Cox, Edwin A. Perkins

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

We show that renormalized two-dimensional Lotka-Volterra models near criticality converge to a super-Brownian motion. This is used to establish long-term survival of a rare type for a range of parameter values near the voter model.

Original languageEnglish (US)
Pages (from-to)747-812
Number of pages66
JournalAnnals of Applied Probability
Volume18
Issue number2
DOIs
StatePublished - Apr 1 2008

Keywords

  • Lotka-Volterra model
  • Super-brownian motion
  • Voter model

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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