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Showing 2006 · math.PRShow all
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math.PR2006★ 5 cited
Multiscale Analysis for SPDEs with Quadratic Nonlinearities
D. Blömker, G. A. Pavliotis, M. Hairer
In this article we derive rigorously amplitude equations for stochastic PDEs with quadratic nonlinearities, under the assumption that the noise acts only on the stable modes and fo…
math.PR2006★ 27 cited
Consistent families of Brownian motions and stochastic flows of kernels
Chris Howitt, Jon Warren
Consider the following mechanism for the random evolution of a distribution of mass on the integer lattice . At unit rate, independently for each site, the mass at th…