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Volumn 42, Issue 1, 1997, Pages 85-93

Poincaré-Invariant Markov Processes and Gaussian Random Fields on Relativistic Phase Space

Author keywords

L vy processes on Lie groups; Relativistic phase space

Indexed keywords


EID: 0039487462     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1007312623531     Document Type: Article
Times cited : (9)

References (15)
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    • (1993) J. Math. Kyoto Univ. , vol.33 , pp. 1103-1123
    • Applebaum, D.1    Kunita, I.2
  • 2
    • 84950352273 scopus 로고
    • Lorentz invariant Markov processes in relativistic phase space
    • Dudley, R. M.: Lorentz invariant Markov processes in relativistic phase space, Ark. Math. 6 (1966), 241-268, 575-581.
    • (1966) Ark. Math. , vol.6 , pp. 241-268
    • Dudley, R.M.1
  • 3
    • 0001330950 scopus 로고
    • Markov processes and random fields
    • Dynkin, E. B.: Markov processes and random fields, Bull. Amer. Math. Soc. 3 (1980), 975-999.
    • (1980) Bull. Amer. Math. Soc. , vol.3 , pp. 975-999
    • Dynkin, E.B.1
  • 4
    • 0000668127 scopus 로고
    • A new interpretation of the Euclidean-Markov field in the framework of physical Minkowski space-time
    • Guerra, F, Ruggiero, P.: A new interpretation of the Euclidean-Markov field in the framework of physical Minkowski space-time, Phys. Rev. Lett. 31 (1973), 1022-1025.
    • (1973) Phys. Rev. Lett. , vol.31 , pp. 1022-1025
    • Guerra, F.1    Ruggiero, P.2
  • 5
    • 0007323643 scopus 로고
    • Relativistic stochastic processes
    • Hakim, R.: Relativistic stochastic processes, J. Math. Phys. 9 (1968), 1805.
    • (1968) J. Math. Phys. , vol.9 , pp. 1805
    • Hakim, R.1
  • 7
    • 0042505776 scopus 로고
    • An analog of the Itô Decomposition for multiplicative processes with values in a Lie group
    • L. Accardi (ed.), Quantum Probability, Springer-Verlag, Berlin, Heidelberg, New York
    • Holevo, A. S.: An analog of the Itô Decomposition for multiplicative processes with values in a Lie group, in: L. Accardi (ed.), Quantum Probability, Lecture Notes in Math. 1442, Springer-Verlag, Berlin, Heidelberg, New York, 1990, pp. 211-215.
    • (1990) Lecture Notes in Math , vol.1442 , pp. 211-215
    • Holevo, A.S.1
  • 8
    • 84967773611 scopus 로고
    • Semi-groups of measures on Lie groups
    • Hunt, G. A.: Semi-groups of measures on Lie groups, Trans. Amer. Math. Soc. 81 (1956), 264-293.
    • (1956) Trans. Amer. Math. Soc. , vol.81 , pp. 264-293
    • Hunt, G.A.1
  • 10
    • 1842641302 scopus 로고
    • Some problems concerning Lévy processes on Lie groups
    • Kunita, H.: Some problems concerning Lévy processes on Lie groups, Proc. Symp. Pure Math. 57 (1995), 323-341.
    • (1995) Proc. Symp. Pure Math. , vol.57 , pp. 323-341
    • Kunita, H.1
  • 11
    • 49549166117 scopus 로고
    • The free Markov field
    • Nelson E.: The free Markov field, J. Funct. Anal. 12 (1973), 211-227.
    • (1973) J. Funct. Anal. , vol.12 , pp. 211-227
    • Nelson, E.1
  • 12
    • 1842792550 scopus 로고
    • Clock space
    • F. Guerra, M. I. Loffredo and C. Marchioro, (eds), World Scientific, Singapore
    • Nelson, E.: Clock space, in: F. Guerra, M. I. Loffredo and C. Marchioro, (eds), Probabilistic Methods in Mathematical Physics, World Scientific, Singapore, 1992, pp. 329-333.
    • (1992) Probabilistic Methods in Mathematical Physics , pp. 329-333
    • Nelson, E.1
  • 13
    • 0001630619 scopus 로고
    • Generalized Markov fields and Dirichlet forms
    • Röckner, M.: Generalized Markov fields and Dirichlet forms, Acta Appl. Math. 3 (1985), 285-311.
    • (1985) Acta Appl. Math. , vol.3 , pp. 285-311
    • Röckner, M.1
  • 15
    • 0002260691 scopus 로고
    • Spectral Theory of Ordinary Differential Operators
    • Springer-Verlag, Berlin, Heidelberg, New York
    • Weidman, J.: Spectral Theory of Ordinary Differential Operators, Lecture Notes in Math 1258, Springer-Verlag, Berlin, Heidelberg, New York, 1987.
    • (1987) Lecture Notes in Math , vol.1258
    • Weidman, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.