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Invariant diffusion processes under Lie group actions

Invariant diffusion processes under Lie group actions
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摘要 We study a decomposition of a diffusion process in a manifold that is invariant under the action of a Lie group. As applications, we consider a diffusion process in a Euclidean space that is invariant under translations in a subspace, and a skew-product in a general setting. We study a decomposition of a diffusion process in a manifold that is invariant under the action of a Lie group. As applications, we consider a diffusion process in a Euclidean space that is invariant under translations in a subspace, and a skew-product in a general setting.
作者 Ming Liao
出处 《Science China Mathematics》 SCIE CSCD 2019年第8期1493-1510,共18页 中国科学:数学(英文版)
关键词 diffusion PROCESS LIE group MARKOV PROCESS diffusion process Lie group Markov process
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