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arxiv: 1312.2324 · v1 · pith:225X447Bnew · submitted 2013-12-09 · 🧮 math.PR

Asymptotic expansions for SDE's with small multiplicative noise

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keywords asymptoticexpansionsmultiplicativenoisenonlinearsmallcoefficientderived
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Asymptotic expansions are derived as power series in a small coefficient entering a nonlinear multiplicative noise and a deterministic driving term in a nonlinear evolution equation. Detailed estimates on remainders are provided.

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