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Volumn 196, Issue 1, 2002, Pages 162-179

Canonical Brownian motion on the diffeomorphism group of the circle

Author keywords

Brownian motion; Diffeomorphism group; Fundamental cocycle

Indexed keywords


EID: 0036909159     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.2002.3922     Document Type: Article
Times cited : (39)

References (12)
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    • Airault, H.1    Malliavin, P.2
  • 2
    • 0002780103 scopus 로고
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  • 3
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    • Bowick, M.J.1    Rajeev, S.G.2
  • 4
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    • Stochastic flows on Riemannian manifolds
    • (M. A. Pinsky and V. Wihstutz, Eds.), Birkhäuser, Boston
    • K. D. Elworthy, Stochastic flows on Riemannian manifolds, in "Diffusion Processes and Related Problems in Analysis" (M. A. Pinsky and V. Wihstutz, Eds.), Birkhäuser, Boston, 1992.
    • (1992) "Diffusion Processes and Related Problems in Analysis"
    • Elworthy, K.D.1
  • 5
    • 0000891627 scopus 로고
    • Cohomology of the Lie algebra of vector fields on the circle
    • I. Gelfand and D.B. Fuks, Cohomology of the Lie algebra of vector fields on the circle, Funct. Anal. Appl. 2 (1968), 92-93.
    • (1968) Funct. Anal. Appl. , vol.2 , pp. 92-93
    • Gelfand, I.1    Fuks, D.B.2
  • 6
    • 0003666456 scopus 로고
    • "Stochastic flows"
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    • H. Kunita, "Stochastic flows," Cambridge Univ. Press, Cambridge, UK, 1988.
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  • 8
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    • Representations of Virasoro algebra by the orbit method
    • A. A. Kirillov and D. V. Yuriev, Representations of Virasoro algebra by the orbit method, J. Geom. Phys. 5 (1988), 351-363.
    • (1988) J. Geom. Phys. , vol.5 , pp. 351-363
    • Kirillov, A.A.1    Yuriev, D.V.2
  • 9
    • 0003537037 scopus 로고
    • "Stochastic Differential Equations and Diffusion Processes"
    • North-Holland, Amsterdam
    • N. Ikeda and S. Watanabe, "Stochastic Differential Equations and Diffusion Processes," North-Holland, Amsterdam, 1981.
    • (1981)
    • Ikeda, N.1    Watanabe, S.2
  • 10
    • 0033177056 scopus 로고    scopus 로고
    • The canonic diffusion above the diffeomorphism group of the circle
    • P. Malliavin, The canonic diffusion above the diffeomorphism group of the circle, C. R. Acad. Sci. Paris t.329 (1999), 325-329.
    • (1999) C. R. Acad. Sci. Paris , vol.329 T , pp. 325-329
    • Malliavin, P.1
  • 11
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    • "Stochastic Analysis"
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  • 12
    • 0004272059 scopus 로고
    • Plenum Monographs in Nonlinear Physics Plenum Press, New York
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    • Mickelsson, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.