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arxiv: 1502.03574 · v4 · pith:ZAKKDRCYnew · submitted 2015-02-12 · 🧮 math.PR

Rescaling nonlinear noise for 1D stochastic parabolic equations

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keywords noiseparabolicstochasticadditiveconvergesequationequationsextremum
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In this paper we will show that the solution of 1D stochastic parabolic equation with additive noise converges to a martingale (independent upon space variable) when we rescale noise at the extremum points of the process.

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