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Volumn 222, Issue , 2001, Pages 141-157

On a relation between intrinsic and extrinsic dirichlet forms for interacting particle systems

Author keywords

Closability; Dirichlet forms; Geometry of configuration spaces; Grand cononical Gibbs measures; Integration by parts

Indexed keywords


EID: 0038512745     PISSN: 0025584X     EISSN: None     Source Type: Journal    
DOI: 10.1002/1522-2616(200102)222:1<141::aid-mana141>3.0.co;2-m     Document Type: Article
Times cited : (5)

References (30)
  • 1
    • 0040794814 scopus 로고
    • Dirichlet forms and generalized schrödinger operators
    • H. HOLDEN and A. JENSEN, editors, Springer - Verlag
    • ALBEVERIO, S., BRASCHE, J., and RÖCKNER, M.: Dirichlet Forms and Generalized Schrödinger Operators. In: H. HOLDEN and A. JENSEN, editors, Schrödinger Operators Lecture Notes in Phys. Volume 345, 1-42, Springer - Verlag, 1989
    • (1989) Schrödinger Operators Lecture Notes in Phys. , vol.345 , pp. 1-42
    • Albeverio, S.1    Brasche, J.2    Röckner, M.3
  • 4
    • 0039520855 scopus 로고    scopus 로고
    • Analysis and geometry on configuration spaces: The gibbsian case
    • Preprint 97-091, SFB 343 Univ. Bielefeld, to appear
    • ALBEVERIO, S., KONDRATIEV, YU, G., and RÖCKNER, M.: Analysis and Geometry on Configuration Spaces: The Gibbsian Case, Preprint 97-091, SFB 343 Univ. Bielefeld, 1997, to appear in J. Funct. Anal.
    • (1997) J. Funct. Anal.
    • Albeverio, S.1    Kondratiev, Y.U.G.2    Röckner, M.3
  • 5
    • 0039032661 scopus 로고    scopus 로고
    • Diffeomorphism groups and current algebras: Configuration spaces analysis in quantum theory
    • Preprint 97-073, SFB 343 Univ. Bielefeld, to appear
    • ALBEVERIO, S., KONDRATIEV, YU, G., and RÖCKNER, M.: Diffeomorphism Groups and Current Algebras: Configuration Spaces Analysis in Quantum Theory, Preprint 97-073, SFB 343 Univ. Bielefeld, 1997, to appear in Rev. Math. Phys.
    • (1997) Rev. Math. Phys.
    • Albeverio, S.1    Kondratiev, Y.U.G.2    Röckner, M.3
  • 7
    • 0000765766 scopus 로고
    • Classical dirichlet forms on topological Vector spaces - Closability and a cameron - Martin formula
    • ALBEVERIO, S., and RÖCKNER, M.: Classical Dirichlet Forms on Topological Vector Spaces - Closability and a Cameron - Martin Formula, J. Func. Anal. 88 (1990), 395-436
    • (1990) J. Func. Anal. , vol.88 , pp. 395-436
    • Albeverio, S.1    Röckner, M.2
  • 10
    • 0003361279 scopus 로고
    • Canonical Gibbs measures
    • Springer -Verlag
    • GEORGII, O.: Canonical Gibbs Measures, Lectures Notes in Math. Volume 760, Springer -Verlag, 1979
    • (1979) Lectures Notes in Math. , vol.760
    • Georgii, O.1
  • 13
    • 84972497493 scopus 로고
    • Calculus on Gaussian and Poisson white noises
    • ITO, Y., and KUBO, I.: Calculus on Gaussian and Poisson White Noises, Nagoya Math. J. 111 (1988), 41-84
    • (1988) Nagoya Math. J. , vol.111 , pp. 41-84
    • Ito, Y.1    Kubo, I.2
  • 16
    • 0002416329 scopus 로고
    • Stationäre zufällige maße auf lokalkompakten abelschen gruppen
    • Z. Wahrscheinlichkeitstheorie und verw.
    • MECKE, J.: Stationäre zufällige maße auf lokalkompakten abelschen gruppen, Z. Wahrscheinlichkeitstheorie und verw. Gebiete 9 (1967), 36-58
    • (1967) Gebiete , vol.9 , pp. 36-58
    • Mecke, J.1
  • 17
    • 84985387201 scopus 로고
    • Bemerkungen zu einer Arbeit von Nguyen Xuan Xanh und Hans Zessin
    • MATTHES, K., MECKE, J., and WARMUTH, W.: Bemerkungen zu einer Arbeit von Nguyen Xuan Xanh und Hans Zessin, Math. Nachr. 88 (1979), 117-127
    • (1979) Math. Nachr. , vol.88 , pp. 117-127
    • Matthes, K.1    Mecke, J.2    Warmuth, W.3
  • 20
    • 0003125186 scopus 로고
    • A duality formula on the Poisson space and some applications. seminar on stochastic analysis
    • Birkhäuser, Basel
    • NUALART, D., and VIVES, J.: A Duality Formula on the Poisson Space and Some Applications. In: Seminar on Stochastic Analysis, Random Fields and Applications 36, 205-213, Birkhäuser, Basel, 1995
    • (1995) Random Fields and Applications , vol.36 , pp. 205-213
    • Nualart, D.1    Vives, J.2
  • 21
    • 84985316714 scopus 로고
    • Integral and differential characterizations of the Gibbs process
    • NGUYEN, X. X., and ZESSIN, H.: Integral and Differential Characterizations of the Gibbs Process, Math. Nachr. 88 (1979), 105-115
    • (1979) Math. Nachr. , vol.88 , pp. 105-115
    • Nguyen, X.X.1    Zessin, H.2
  • 22
    • 0030526567 scopus 로고    scopus 로고
    • Dirichlet form approach to infinite - Dimensional Wiener processes with singular integractions
    • OSADA, H.: Dirichlet Form Approach to Infinite - Dimensional Wiener Processes with Singular Integractions, Comm. Math. Phys. 176, No. 1 (1996), 117-131
    • (1996) Comm. Math. Phys. , vol.176 , Issue.1 , pp. 117-131
    • Osada, H.1
  • 23
    • 22044456664 scopus 로고    scopus 로고
    • Interacting brownian motions with measurable potentials
    • OSADA, H.: Interacting Brownian Motions with Measurable Potentials, Japan Academy 74, Ser. A, No. 1 (1998)
    • (1998) Japan Academy , vol.74 , Issue.1 SER. A
    • Osada, H.1
  • 24
  • 25
    • 0041199475 scopus 로고
    • Canonical and microcanonical Gibbs states
    • Wahrscheinlichkeitstheorie und verw
    • PRESTON, C. J.: Canonical and Microcanonical Gibbs States, Wahrscheinlichkeitstheorie und verw. Gebiete 46 (1979), 125-158
    • (1979) Gebiete , vol.46 , pp. 125-158
    • Preston, C.J.1
  • 26
    • 0000428837 scopus 로고
    • A transfer principle from Wiener to Poisson space and applications
    • PRIVAULT, N.: A Transfer Principle from Wiener to Poisson Space and Applications, J. Funct. Anal. 132 (1995), 335-360
    • (1995) J. Funct. Anal. , vol.132 , pp. 335-360
    • Privault, N.1
  • 28
    • 0001000050 scopus 로고
    • Poisson measures on the configuration space and unitary representations of the group of diffeomorphism
    • SHIMOMURA, H.: Poisson Measures on the Configuration Space and Unitary Representations of the Group of Diffeomorphism, J. Math. Kyoto Univ. 34 (1994), 599-614
    • (1994) J. Math. Kyoto Univ. , vol.34 , pp. 599-614
    • Shimomura, H.1
  • 29
    • 0031256447 scopus 로고    scopus 로고
    • Uniqueness of dirichlet forms associated with systems of infinitely many brownian balls
    • TANEMURA, H.: Uniqueness of Dirichlet Forms Associated with Systems of Infinitely Many Brownian Balls, Probab. Theory Relat. Fields 109 (1997), 275-299
    • (1997) Probab. Theory Relat. Fields , vol.109 , pp. 275-299
    • Tanemura, H.1
  • 30
    • 0000436663 scopus 로고    scopus 로고
    • Construction of infinite - Dimensional interacting diffusion processes through dirichlet forms
    • YOSHIDA, M.: Construction of Infinite - Dimensional Interacting Diffusion Processes through Dirichlet Forms, Probab. Theory Relat. Fields 106 (1996), 265-297
    • (1996) Probab. Theory Relat. Fields , vol.106 , pp. 265-297
    • Yoshida, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.