Snake representation of a superprocess in random environment

Leonid Mytnik, Jie Xiong, Ofer Zeitouni

Research output: Contribution to journalArticlepeer-review

Abstract

We consider (discrete time) branching particles in a random environment which is i.i.d. in time and possibly spatially correlated. We prove a representation of the limit process by means of a Brownian snake in random environment.

Original languageEnglish
Pages (from-to)335-378
Number of pages44
JournalAlea
Volume8
Issue number1
StatePublished - 2011

Keywords

  • Brox diffusion
  • Random environment
  • Snake representation
  • Superprocess

ASJC Scopus subject areas

  • Statistics and Probability

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