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Sbornik: Mathematics, 2018, Volume 209, Issue 1, Pages 71–95
DOI: https://doi.org/10.1070/SM8537 (Mi sm8537) 		 
Construction of diffusions on current groups

A. A. Kalinichenko

Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
English version PDF (561 kB) Russian version article
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DOI: https://doi.org/10.1070/SM8537
Abstract: On the current group $C(M,G)$ of continuous maps from a Riemannian manifold $M$ to a Lie group $G$ we construct diffusion processes generated by second-order differential operators with variable coefficients.
Bibliography: 25 titles.
Keywords: current groups, diffusion, infinite-dimensional stochastic analysis, Brownian motion.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00516-а
This work was supported by the Russian Foundation for Basic Research (grant no. 14-01-00516-a).
Received: 05.05.2015 and 02.05.2017
Bibliographic databases:
Document Type: Article
UDC: 519.218.1
MSC: Primary 58J65; Secondary 22E67, 60G65, 60H10
Language: English
Original paper language: Russian
Citation: A. A. Kalinichenko, “Construction of diffusions on current groups”, Sb. Math., 209:1 (2018), 71–95
Citation in format AMSBIB
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    References:49
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