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arxiv: 1402.4987 · v1 · submitted 2014-02-20 · 🧮 math.PR

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The dynamics of the stochastic shadow Gierer-Meinhardt System

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keywords dynamicsgierer-meinhardtshadowstochasticsystembrownianconsiderdeviation
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We consider the dynamics of the stochastic shadow Gierer-Meinhardt system with one-dimensional standard Brownian motion. We establish the global existence and uniqueness of solutions. We also prove a large deviation result.

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