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Stochastic order methods applied to stochastic travelling waves

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Tribe, Roger and Woodward, Nicholas. (2011) Stochastic order methods applied to stochastic travelling waves. Electronic Journal of Probability, Vol.16 . pp. 436-469. ISSN 1083-6489

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Official URL: http://dx.doi.org/10.1214/EJP.v16-868

Abstract

This paper considers some one dimensional reaction diffusion equations driven by a one dimensional multiplicative white noise. The existence of a stochastic travelling wave solution is established, as well as a sufficient condition to be in its domain of attraction. The arguments use stochastic ordering techniques.

Item Type: Journal Article
Divisions: Faculty of Science > Mathematics
Journal or Publication Title: Electronic Journal of Probability
Publisher: University of Washington. Dept. of Mathematics
ISSN: 1083-6489
Date: 9 March 2011
Volume: Vol.16
Page Range: pp. 436-469
Identification Number: 10.1214/EJP.v16-868
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
URI: http://wrap.warwick.ac.uk/id/eprint/41456

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