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Volumn 37, Issue 4, 1997, Pages 735-756

Recurrence and conservativeness of symmetric diffusion processes by Girsanov transformations

(1)  Kuwae, Kazuhiro a  

a NONE

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EID: 0031351907     PISSN: 0023608X     EISSN: None     Source Type: Journal    
DOI: 10.1215/kjm/1250518212     Document Type: Article
Times cited : (3)

References (36)
  • 2
    • 84980189206 scopus 로고
    • Differential equations on Riemannian manifolds and their geometric applications
    • S. Y. Cheng and S. T. Yau, Differential equations on Riemannian manifolds and their geometric applications, Comm. Pure and Applied Math., 28 (1975), 333-354.
    • (1975) Comm. Pure and Applied Math. , vol.28 , pp. 333-354
    • Cheng, S.Y.1    Yau, S.T.2
  • 4
    • 0006803408 scopus 로고    scopus 로고
    • Girsanov-type transformations of local Dirichlet forms: An analytic approach
    • A. Eberle, Girsanov-type transformations of local Dirichlet forms: an analytic approach, Osaka J. Math., 33 (1996), 497-531.
    • (1996) Osaka J. Math. , vol.33 , pp. 497-531
    • Eberle, A.1
  • 5
    • 0041105036 scopus 로고    scopus 로고
    • Vector fields on mapping spaces and related Dirichlet forms and diffusions
    • K. D. Elworthy and Z. M. Ma, Vector fields on mapping spaces and related Dirichlet forms and diffusions, Osaka J. Math., 34 (1997), 629-651.
    • (1997) Osaka J. Math. , vol.34 , pp. 629-651
    • Elworthy, K.D.1    Ma, Z.M.2
  • 6
    • 0031489220 scopus 로고    scopus 로고
    • Absolute continuity of symmetric diffusions
    • P. J. Fitzsimmons, Absolute continuity of symmetric diffusions, Ann. of Prob., 25 (1997), 230-258.
    • (1997) Ann. of Prob. , vol.25 , pp. 230-258
    • Fitzsimmons, P.J.1
  • 8
    • 0010722821 scopus 로고
    • On recurrence criteria in the Dirichlet space theory, from local times to global geometry, control and physics
    • Edit. K. D. Elworthy, Longman
    • M. Fukushima, On recurrence criteria in the Dirichlet space theory, From local times to global geometry, control and physics, Edit. K. D. Elworthy, Research Notes in Math. 150, Longman, 1987.
    • (1987) Research Notes in Math. , vol.150
    • Fukushima, M.1
  • 10
    • 0002530893 scopus 로고
    • The conservation property of the heat equation on Riemannian manifolds
    • M. P. Gaffney, The conservation property of the heat equation on Riemannian manifolds, Comm. Pure Appl. Math., 12 (1959), 1-11.
    • (1959) Comm. Pure Appl. Math. , vol.12 , pp. 1-11
    • Gaffney, M.P.1
  • 11
    • 0000900942 scopus 로고
    • On stochastically complete manifolds
    • A. A. Grigor'yan, On stochastically complete manifolds, Dokl. Akad. Nauk SSSR, 290 (1986), 534-537.
    • (1986) Dokl. Akad. Nauk SSSR , vol.290 , pp. 534-537
    • Grigor'yan, A.A.1
  • 12
    • 84956133692 scopus 로고
    • On the existence of positive fundamental solutions of the Laplace equation on Riemannian manifolds
    • A. A. Grigor'yan, On the existence of positive fundamental solutions of the Laplace equation on Riemannian manifolds, Math, USSR Sbornik, 56 (1987), 349-358.
    • (1987) Math, USSR Sbornik , vol.56 , pp. 349-358
    • Grigor'yan, A.A.1
  • 14
    • 84972512607 scopus 로고
    • Curvature, geodesics and the Brownian motion on a Riemannian manifold I-recurrence properties-
    • K Ichihara, Curvature, geodesics and the Brownian motion on a Riemannian manifold I-Recurrence properties-, Nagoya Math. Jour., 87 (1982), 101-114.
    • (1982) Nagoya Math. Jour. , vol.87 , pp. 101-114
    • Ichihara, K.1
  • 15
    • 84972512647 scopus 로고
    • Curvature, geodesics and the Brownian motion on a Riemannian manifold II-explosion properties-
    • K. Ichihara, Curvature, geodesics and the Brownian motion on a Riemannian manifold II-Explosion properties-, Nagoya Math. Jour., 87 (1982), 115-125.
    • (1982) Nagoya Math. Jour. , vol.87 , pp. 115-125
    • Ichihara, K.1
  • 16
    • 0040900679 scopus 로고
    • Explosion problem for symmetric diffusion processes
    • K. Ichihara, Explosion problem for symmetric diffusion processes, Trans. Amer. Math. Soc., 298 (1986), 515-536.
    • (1986) Trans. Amer. Math. Soc. , vol.298 , pp. 515-536
    • Ichihara, K.1
  • 17
  • 18
    • 0041149276 scopus 로고    scopus 로고
    • Liouville theorems based on symmetric diffusions
    • H. Kaneko, Liouville theorems based on symmetric diffusions, Bull. Soc. Math. France, 124 (1996), 545-557.
    • (1996) Bull. Soc. Math. France , vol.124 , pp. 545-557
    • Kaneko, H.1
  • 19
    • 21844484629 scopus 로고
    • Permanent sets of measures charging no exceptional sets and the Feynman-Kac formula
    • K. Kuwae, Permanent sets of measures charging no exceptional sets and the Feynman-Kac Formula, Forum Math., 7 (1995), 575-605.
    • (1995) Forum Math. , vol.7 , pp. 575-605
    • Kuwae, K.1
  • 20
    • 0039962135 scopus 로고    scopus 로고
    • On Pseudo metrics of Dirichlet forms on separable metric spaces
    • Edit. S. Watanabe, M. Fukushima, Yu. V. Prohorov, A. N. Shiryaev, World Scientific
    • K. Kuwae, On pseudo metrics of Dirichlet forms on separable metric spaces. Proceedings of the Seventh Japan-Russia Symposium on Probability Theory and Mathematical Statistics. Edit. S. Watanabe, M. Fukushima, Yu. V. Prohorov, A. N. Shiryaev, 256-265, World Scientific, 1996.
    • (1996) Proceedings of the Seventh Japan-Russia Symposium on Probability Theory and Mathematical Statistics , pp. 256-265
    • Kuwae, K.1
  • 23
    • 0013518785 scopus 로고
    • Capacitary inequalities and global properties of symmetric Dirichlet forms
    • Edit. Z. M. Ma, M. Röckner, J. A. Yan, 291-303, Walter de Gruyter
    • H. Ôkura, Capacitary inequalities and global properties of symmetric Dirichlet forms. Proceedings of Dirichlet Forms and Stochastic Processes. Edit. Z. M. Ma, M. Röckner, J. A. Yan, 291-303, Walter de Gruyter, 1995.
    • (1995) Proceedings of Dirichlet Forms and Stochastic Processes
    • Ôkura, H.1
  • 24
    • 0039686049 scopus 로고
    • On conservativeness and recurrence criteria for Markov processes
    • Y. Oshima, On conservativeness and recurrence criteria for Markov processes, Potential Analysis, 1 (1992), 115-131.
    • (1992) Potential Analysis , vol.1 , pp. 115-131
    • Oshima, Y.1
  • 25
    • 12444307809 scopus 로고
    • Time dependent Dirichlet forms and its application to a transformation of its space-time Markov processes
    • Edit. Z. M. Ma, M. Röckner, J. A. Yan, Walter de Gruyter
    • Y. Oshima, Time dependent Dirichlet forms and its application to a transformation of its space-time Markov processes. Proceedings of Symposium on Dirichlet Forms and Stochastic Processes. Edit. Z. M. Ma, M. Röckner, J. A. Yan, 305-320, Walter de Gruyter, 1995.
    • (1995) Proceedings of Symposium on Dirichlet Forms and Stochastic Processes , pp. 305-320
    • Oshima, Y.1
  • 27
    • 0011004009 scopus 로고
    • Quasi-regular Dirichlet forms: Examples and counterexamples
    • M. Röckner and B. Schmuland, Quasi-regular Dirichlet forms: Examples and Counterexamples, Can. J. Math., 47 (1995), 165-200.
    • (1995) Can. J. Math. , vol.47 , pp. 165-200
    • Röckner, M.1    Schmuland, B.2
  • 28
    • 0001390366 scopus 로고
    • Uniqueness of generalized schrödinger operators, part II
    • M. Röckner and T. S. Zhang, Uniqueness of generalized Schrödinger operators, part II, Jour, Func. Anal., 119 (1994), 455-467.
    • (1994) Jour, Func. Anal. , vol.119 , pp. 455-467
    • Röckner, M.1    Zhang, T.S.2
  • 31
    • 0001604599 scopus 로고
    • On the geometry defined by Dirichlet forms. Seminar on Stochastic analysis, random fields and applications
    • Edit. E. Bolthausen et al, Birkhäuser
    • K. Th. Sturm, On the geometry defined by Dirichlet forms. Seminar on Stochastic Analysis, Random Fields and Applications. Edit. E. Bolthausen et al, Progress in Probablity 36. Birkhäuser, 231-242, 1995.
    • (1995) Progress in Probablity , vol.36 , pp. 231-242
    • Sturm, K.Th.1
  • 32
    • 84972567558 scopus 로고
    • On martingale method for symmetric diffusion processes and its applications
    • M. Takeda, On martingale method for symmetric diffusion processes and its applications, Osaka J. Math., 26 (1989), 603-623.
    • (1989) Osaka J. Math. , vol.26 , pp. 603-623
    • Takeda, M.1
  • 33
    • 85008737449 scopus 로고
    • On the conservativeness of the Brownian motion on a Riemannian manifold
    • M. Takeda, On the conservativeness of the Brownian motion on a Riemannian manifold, Bull. London Math. Soc., 23 (1991), 86-88.
    • (1991) Bull. London Math. Soc. , vol.23 , pp. 86-88
    • Takeda, M.1
  • 34
    • 84972584280 scopus 로고
    • The maximum Markovian self-adjoint extensions of generalized Schrödinger operators
    • M. Takeda, The maximum Markovian self-adjoint extensions of generalized Schrödinger operators, Jour. Math. Soc. Japan, 44 (1992), 113-130.
    • (1992) Jour. Math. Soc. Japan , vol.44 , pp. 113-130
    • Takeda, M.1


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