DECOMPOSITION OF STOCHASTIC FLOWS IN MANIFOLDS WITH COMPLEMENTARY DISTRIBUTIONS

DOI10.1142/S0219493713500093zbMath1280.58024arXiv1202.5524MaRDI QIDQ2863003

Fabiano Borges da Silva, Paulo R. Ruffino, Pedro José Catuogno

Publication date: 20 November 2013

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5524

zbMATH Keywords

stochastic flowsgroup of diffeomorphismssmooth distributionsdecomposition of flows

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Diffusion processes and stochastic analysis on manifolds (58J65) Infinite-dimensional random dynamical systems; stochastic equations (37L55)

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Cites Work

• A decomposition of Markov processes via group actions
• Markov processes invariant under a Lie group action
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• Stochastic differential equations and stochastic flows of diffeomorphisms
• The inverse function theorem of Nash and Moser
• DECOMPOSITION OF STOCHASTIC FLOWS AND ROTATION MATRIX
• DECOMPOSITION OF STOCHASTIC FLOWS WITH AUTOMORPHISM OF SUBBUNDLES COMPONENT
• An averaging principle for a completely integrable stochastic Hamiltonian system