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arxiv: 1204.3922 · v1 · pith:RVUZ7LLZnew · submitted 2012-04-17 · 🧮 math.PR

Stochastic Euler-Poincar\'e reduction

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keywords euler-poincargroupreductionstochasticapplicationdiffeomorphismsexamplesprocesses
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We prove a Euler-Poincar\'e reduction theorem for stochastic processes taking values in a Lie group and we show examples of its application to SO(3) and to the group of diffeomorphisms.

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