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Volumn 122, Issue 4, 2002, Pages 545-566

Quasi-invariance and reversibility in the Fleming-Viot process

Author keywords

Cocycle identity; Fleming Viot process; Quasi invariance; Reversible distribution

Indexed keywords


EID: 0036012939     PISSN: 01788051     EISSN: None     Source Type: Journal    
DOI: 10.1007/s004400100178     Document Type: Article
Times cited : (14)

References (18)
  • 1
    • 0001164937 scopus 로고    scopus 로고
    • Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states
    • Albeverio, S., Kondratiev, Yu. G., Röckner, M.: Ergodicity for the stochastic dynamics of quasi-invariant measures with applications to Gibbs states, J. Funct. Anal. 149, 415-469 (1997)
    • (1997) J. Funct. Anal. , vol.149 , pp. 415-469
    • Albeverio, S.1    Kondratiev, Yu.G.2    Röckner, M.3
  • 2
    • 0002275662 scopus 로고
    • Measure-valued Markov processes
    • École d'Été de Probabilités de Saint Flour, Springer-Verlag, Berlin
    • Dawson, D.: Measure-valued Markov processes, in École d'Été de Probabilités de Saint Flour, Lecture Notes in Math. 1541, pp. 1-260, Springer-Verlag, Berlin 1993
    • (1993) Lecture Notes in Math. , vol.1541 , pp. 1-260
    • Dawson, D.1
  • 5
    • 0027553844 scopus 로고
    • Fleming-Viot processes in population genetics
    • Ethier, S.N., Kurtz, T.G.: Fleming-Viot processes in population genetics, SIAM J. Contr. Opt. 31, 345-386 (1993)
    • (1993) SIAM J. Contr. Opt. , vol.31 , pp. 345-386
    • Ethier, S.N.1    Kurtz, T.G.2
  • 6
    • 0001625339 scopus 로고
    • Some measure-valued Markov processes in population genetics theory
    • Fleming, W.H., Viot, M.: Some measure-valued Markov processes in population genetics theory, Indiana Univ. Math. J. 28, 817-843 (1979)
    • (1979) Indiana Univ. Math. J. , vol.28 , pp. 817-843
    • Fleming, W.H.1    Viot, M.2
  • 7
    • 0001669117 scopus 로고
    • Reversibility of solutions to martingale problems
    • Academic Press, Orlando
    • Fukushima, M., Stroock, D.: Reversibility of solutions to martingale problems. Adv. Math. Suppl. Stud. 9, 107-123. Academic Press, Orlando 1986
    • (1986) Adv. Math. Suppl. Stud. , vol.9 , pp. 107-123
    • Fukushima, M.1    Stroock, D.2
  • 8
    • 84972552094 scopus 로고
    • The reversible measures of multi-dimensional Ginzburg-Landau type continuum model
    • Funaki, T.: The reversible measures of multi-dimensional Ginzburg-Landau type continuum model, Osaka J. Math. 28, 463-494 (1991)
    • (1991) Osaka J. Math. , vol.28 , pp. 463-494
    • Funaki, T.1
  • 9
    • 0013261031 scopus 로고    scopus 로고
    • Quasi-invariant measures and their characterization by conditional probabilities
    • Handa, K.: Quasi-invariant measures and their characterization by conditional probabilities, Bull. Sci. Math. 125, 583-604 (2001)
    • (2001) Bull. Sci. Math. , vol.125 , pp. 583-604
    • Handa, K.1
  • 11
    • 33748250931 scopus 로고
    • Zur umkehrbarkeit der statistischen naturgesetze
    • Kolmogoroff, A.N.: Zur Umkehrbarkeit der statistischen Naturgesetze, Math. Ann. 113, 766-772 (1937)
    • (1937) Math. Ann. , vol.113 , pp. 766-772
    • Kolmogoroff, A.N.1
  • 12
    • 0001878467 scopus 로고    scopus 로고
    • A reversibility problem for Fleming-Viot processes
    • Li, Z., Shiga, T., Yao, L.: A reversibility problem for Fleming-Viot processes, Elect. Comm. in Probab. 4, 71-82 (1999)
    • (1999) Elect. Comm. in Probab. , vol.4 , pp. 71-82
    • Li, Z.1    Shiga, T.2    Yao, L.3
  • 13
    • 0001577708 scopus 로고
    • The adjoint Markoff process
    • Nelson, E.: The adjoint Markoff process, Duke Math. J. 25, 671-690 (1958)
    • (1958) Duke Math. J. , vol.25 , pp. 671-690
    • Nelson, E.1
  • 14
    • 0002060067 scopus 로고
    • An analytic approach to Fleming-Viot processes with interactive selection
    • Overbeck, L., Röckner, M., Schmuland, B.: An analytic approach to Fleming-Viot processes with interactive selection, Ann. Probab. 23, 1-36 (1995)
    • (1995) Ann. Probab. , vol.23 , pp. 1-36
    • Overbeck, L.1    Röckner, M.2    Schmuland, B.3
  • 15
    • 0141680538 scopus 로고    scopus 로고
    • Geometric analysis for symmetric Fleming-Viot operators: Rademacher's theorem and exponential families
    • Schied, A.: Geometric analysis for symmetric Fleming-Viot operators: Rademacher's theorem and exponential families, to appear in Potential Analysis
    • Potential Analysis
    • Schied, A.1
  • 18
    • 0013247551 scopus 로고    scopus 로고
    • The reversible measure of a conservative system with finite range interactions
    • "Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence", eds. T. Funaki and W. A. Woyczynski, Springer-Verlag, New York
    • Zhu, M.: The reversible measure of a conservative system with finite range interactions, in "Nonlinear Stochastic PDE's: Hydrodynamic Limit and Burgers' Turbulence", eds. T. Funaki and W. A. Woyczynski, IMA volumes in Mathematics and its Applications, Vol. 77, Springer-Verlag, pp. 147-156, New York 1996
    • (1996) IMA Volumes in Mathematics and its Applications , vol.77 , pp. 147-156
    • Zhu, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.