A comparison of homogenization and large deviations, with applications to wavefront propagation

We consider the combined effects of homogenization and large deviations in a stochastic differential equation. We show that there are three regimes, depending on the relative rates at which the small viscosity parameter and the homogenization parameter tend to zero. We prove some large-deviations-type estimates, and then apply these results to study wavefronts in both a single reaction-diffusion equation and in a system of reaction-diffusion equations.

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Year of publication:	1999
Authors:	Freidlin, Mark I. ; Sowers, Richard B.
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 82.1999, 1, p. 23-52
Publisher:	Elsevier
Keywords:	Homogenization Huygen's principle KPP equations Large deviations Minkowski geometry Reaction-diffusion equations Wavefront propagation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10008874338