Stochastic Euler-Poincar\'e reduction
Probability
2012-04-19 v1
Abstract
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.
Cite
@article{arxiv.1204.3922,
title = {Stochastic Euler-Poincar\'e reduction},
author = {Marc Arnaudon and Xin Chen and Ana Bela Cruzeiro},
journal= {arXiv preprint arXiv:1204.3922},
year = {2012}
}
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