메뉴 건너뛰기




Volumn 13, Issue 2, 2000, Pages 147-168

Invariant Measures and Symmetry Property of Lévy Type Operators

Author keywords

(Regular infinitesimal) invariant probability measures; L vy type operators; Stable (type) L vy measures; Symmetrization

Indexed keywords


EID: 0042689349     PISSN: 09262601     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008705820024     Document Type: Article
Times cited : (66)

References (29)
  • 1
    • 0033476786 scopus 로고    scopus 로고
    • On uniqueness and ergodicity of invariant measures for finite and infinite dimensional diffusions
    • Albeverio, S., Bogachev, V. and Röckner, M.: 'On uniqueness and ergodicity of invariant measures for finite and infinite dimensional diffusions'. Commum. Pure Appl. Math. LII (1999), 325-362.
    • (1999) Commum. Pure Appl. Math. , vol.52 , pp. 325-362
    • Albeverio, S.1    Bogachev, V.2    Röckner, M.3
  • 2
    • 0040287456 scopus 로고
    • Quasi invariant measures, symmetric diffusion processes and quantum fields
    • Colloques Internationaux du Centre Nat. Rech. Sci. Marseille, 23-27 juin 1975, C.N.R.S.
    • Albeverio, S. and Høegh-Krohn, R.: 'Quasi invariant measures, symmetric diffusion processes and quantum fields', in: Les Méthodes Mathématiques de la Théorie Quantique des Champs, Colloques Internationaux du Centre Nat. Rech. Sci. Marseille, 23-27 juin 1975, C.N.R.S. 1976, pp. 11-59.
    • (1976) Les Méthodes Mathématiques de la Théorie Quantique des Champs , pp. 11-59
    • Albeverio, S.1    Høegh-Krohn, R.2
  • 3
    • 0002129136 scopus 로고
    • Dirichlet forms and diffusion processes on rigged Hilbert spaces
    • Albeverio, S. and Høegh-Krohn, R.: 'Dirichlet forms and diffusion processes on rigged Hilbert spaces', Z. Wahr. Theor. Verw. Geb. 40 (1977), 1-57.
    • (1977) Z. Wahr. Theor. Verw. Geb. , vol.40 , pp. 1-57
    • Albeverio, S.1    Høegh-Krohn, R.2
  • 4
    • 0039837960 scopus 로고
    • Closability and resolvent of Dirichlet forms perturbed by jumps
    • Albeverio, S. and Song, S.: 'Closability and resolvent of Dirichlet forms perturbed by jumps', Potential Analysis 2 (1993), 115-130.
    • (1993) Potential Analysis , vol.2 , pp. 115-130
    • Albeverio, S.1    Song, S.2
  • 5
    • 0000552386 scopus 로고
    • Lévy flows on manifolds and Lévy processes on Lie groups
    • Applebaum, D. and Kunita, H.: 'Lévy flows on manifolds and Lévy processes on Lie groups', J. Math. Kyoto Univ. 33 (1993), 1103-1123.
    • (1993) J. Math. Kyoto Univ. , vol.33 , pp. 1103-1123
    • Applebaum, D.1    Kunita, H.2
  • 7
    • 0004044694 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • Bertoin, J.: Lévy Processes, Cambridge University Press, Cambridge, 1996.
    • (1996) Lévy Processes
    • Bertoin, J.1
  • 8
    • 53249085341 scopus 로고
    • Regularity of invariant measures on finite and infinite dimensional spaces and applications
    • Bogachev, V. and Röckner, M.: 'Regularity of invariant measures on finite and infinite dimensional spaces and applications', J. Funct. Anal. 133 (1995), 168-223.
    • (1995) J. Funct. Anal. , vol.133 , pp. 168-223
    • Bogachev, V.1    Röckner, M.2
  • 9
    • 0042080899 scopus 로고    scopus 로고
    • Existence and uniqueness of invariant measures: An approach via sectorial forms
    • To appear
    • Bogachev, V., Röckner, M. and Zhang, T. S.: 'Existence and uniqueness of invariant measures: An approach via sectorial forms', To appear in Appl. Math. Optim.
    • Appl. Math. Optim.
    • Bogachev, V.1    Röckner, M.2    Zhang, T.S.3
  • 12
    • 0011502077 scopus 로고
    • The martingale problem for a class of pseudo differential operators
    • Hoh, W.: 'The martingale problem for a class of pseudo differential operators', Math. Ann. 300 (1994), 121-147.
    • (1994) Math. Ann. , vol.300 , pp. 121-147
    • Hoh, W.1
  • 17
    • 84972560651 scopus 로고
    • Markov processes associated with certain integral-differential operators
    • Komatsu, T.: 'Markov processes associated with certain integral-differential operators', Osaka J. Math. 10 (1973), 271-303.
    • (1973) Osaka J. Math. , vol.10 , pp. 271-303
    • Komatsu, T.1
  • 18
    • 84972578792 scopus 로고
    • On the martingale problem for generators of stable processes with perturbations
    • Komatsu, T.: 'On the martingale problem for generators of stable processes with perturbations', Osaka J. Math. 21 (1984), 113-132.
    • (1984) Osaka J. Math. , vol.21 , pp. 113-132
    • Komatsu, T.1
  • 19
    • 84972560504 scopus 로고
    • Pseudo-differential operators and Markov processes
    • Komatsu, T.: 'Pseudo-differential operators and Markov processes', J. Math. Soc. Japan 36 (1984), 387-418.
    • (1984) J. Math. Soc. Japan , vol.36 , pp. 387-418
    • Komatsu, T.1
  • 21
    • 0041152244 scopus 로고
    • Stochastic processes and semigroups associated with degenerate Lévy generating operators
    • Negoro, A. and Tsuchiya, M.: 'Stochastic processes and semigroups associated with degenerate Lévy generating operators', Stochastics and Stochastics Rep. 26 (1989), 26-61.
    • (1989) Stochastics and Stochastics Rep. , vol.26 , pp. 26-61
    • Negoro, A.1    Tsuchiya, M.2
  • 22
    • 0001577708 scopus 로고
    • The adjoint Markoff process
    • Nelson, E.: 'The adjoint Markoff process', Duke Math. J. 25 (1958), 671-690.
    • (1958) Duke Math. J. , vol.25 , pp. 671-690
    • Nelson, E.1
  • 24
    • 84972550555 scopus 로고
    • Existence of invariant measures of diffusions on an abstract Wiener space
    • Shigekawa, I.: 'Existence of invariant measures of diffusions on an abstract Wiener space', Osaka J. Math. 24 (1987), 37-59.
    • (1987) Osaka J. Math. , vol.24 , pp. 37-59
    • Shigekawa, I.1
  • 26
    • 0000775921 scopus 로고
    • Diffusion processes associated with Lévy generators
    • Stroock, D. W.: 'Diffusion processes associated with Lévy generators', Z. Wahr. Theor. Verw. Geb. 32 (1975), 209-244.
    • (1975) Z. Wahr. Theor. Verw. Geb. , vol.32 , pp. 209-244
    • Stroock, D.W.1
  • 27
    • 0040558130 scopus 로고
    • Lévy measure with generalized polar decomposition and the associated SDE with jumps
    • Tsuchiya, M.: 'Lévy measure with generalized polar decomposition and the associated SDE with jumps', Stochastics and Stochastics Rep. 38 (1992), 95-117.
    • (1992) Stochastics and Stochastics Rep. , vol.38 , pp. 95-117
    • Tsuchiya, M.1
  • 29
    • 84966202135 scopus 로고
    • Invariant measures of symmetric Lévy processes
    • Ying, J.: 'Invariant measures of symmetric Lévy processes', Proc. A.M.S. 120 (1994), 267-273.
    • (1994) Proc. A.M.S. , vol.120 , pp. 267-273
    • Ying, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.