Open AccessStochastic Euler-Poincaré reduction
Author(s) -
Marc Arnaudon,
Xin Chen,
Ana Bela Cruzeiro
Publication year - 2014
Publication title -
journal of mathematical physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.708
H-Index - 119
eISSN - 1089-7658
pISSN - 0022-2488
DOI - 10.1063/1.4893357
Subject(s) - mathematics , lie group , bounded function , generalization , reduction (mathematics) , euler's formula , domain (mathematical analysis) , exposition (narrative) , euler equations , group (periodic table) , symmetry (geometry) , mathematical physics , mathematical analysis , pure mathematics , physics , quantum mechanics , geometry , art , literature
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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