메뉴 건너뛰기




Volumn 6, Issue 1, 2003, Pages 123-138

Quantum Markov fields

Author keywords

Integration and probability; Mathematical quantum statistical mechanics; Noncommutative measure; Quantum Markov processes

Indexed keywords


EID: 0037570674     PISSN: 02190257     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219025703001079     Document Type: Article
Times cited : (36)

References (28)
  • 2
    • 0038358526 scopus 로고
    • Local perturbations of conditional expectations
    • L. Accardi, Local perturbations of conditional expectations, J. Math. Anal. Appl. 72 (1979) 34-68.
    • (1979) J. Math. Anal. Appl. , vol.72 , pp. 34-68
    • Accardi, L.1
  • 3
    • 0001216606 scopus 로고
    • Conditional expectations in von Neumann algebras and a theorem of Takesaki
    • L. Accardi and C. Cecchini, Conditional expectations in von Neumann algebras and a theorem of Takesaki, J. Funct. Anal. 45 (1982) 245-273.
    • (1982) J. Funct. Anal. , vol.45 , pp. 245-273
    • Accardi, L.1    Cecchini, C.2
  • 4
    • 0037834779 scopus 로고    scopus 로고
    • Nonhomogeneous Markov states and quantum Markov fields
    • in press
    • L. Accardi and F. Fidaleo, Nonhomogeneous Markov states and quantum Markov fields, J. Funct. Anal., in press.
    • J. Funct. Anal.
    • Accardi, L.1    Fidaleo, F.2
  • 8
    • 84966215015 scopus 로고
    • Inductive limits of finite dimensional C*-Algebras
    • O. Bratteli, Inductive limits of finite dimensional C*-Algebras, Trans. Amer. Math. Soc. 171 (1972) 195-234.
    • (1972) Trans. Amer. Math. Soc. , vol.171 , pp. 195-234
    • Bratteli, O.1
  • 11
    • 0001235413 scopus 로고
    • The description of a random field by means of conditional probabilities and conditions of its regularity
    • R. L. Dobrushin, The description of a random field by means of conditional probabilities and conditions of its regularity, Theor. Probab. Appl 13 (1968) 197-224.
    • (1968) Theor. Probab. Appl , vol.13 , pp. 197-224
    • Dobrushin, R.L.1
  • 12
    • 0038020323 scopus 로고
    • Gibbsian random fields for lattice systems with pairwise interactions
    • R. L. Dobrushin, Gibbsian random fields for lattice systems with pairwise interactions, Funct. Anal. Appl 2 (1968) 292-301.
    • (1968) Funct. Anal. Appl , vol.2 , pp. 292-301
    • Dobrushin, R.L.1
  • 13
    • 0011663981 scopus 로고
    • The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
    • R. L. Dobrushin, The problem of uniqueness of a Gibbsian random field and the problem of phase transitions, Funct. Anal. Appl 2 (1968) 302-312.
    • (1968) Funct. Anal. Appl , vol.2 , pp. 302-312
    • Dobrushin, R.L.1
  • 14
    • 0030504874 scopus 로고    scopus 로고
    • Minimal conditional expectations for inclusions with atomic centres
    • F. Fidaleo and T. Isola, Minimal conditional expectations for inclusions with atomic centres, Internat. J. Math. 7 (1996) 307-327.
    • (1996) Internat. J. Math. , vol.7 , pp. 307-327
    • Fidaleo, F.1    Isola, T.2
  • 15
    • 0002405299 scopus 로고
    • Espérance conditionelle minimale
    • J.-F. Havet, Espérance conditionelle minimale, J. Operator Theory 24 (1990) 33-55.
    • (1990) J. Operator Theory , vol.24 , pp. 33-55
    • Havet, J.-F.1
  • 16
    • 0037682431 scopus 로고
    • Martingale convergence of generalized conditional expectations on von Neumann algebras
    • F. Hiai and M. Tsukada, Martingale convergence of generalized conditional expectations on von Neumann algebras, Trans. Amer. Math. Soc. 282 (1984) 791-798.
    • (1984) Trans. Amer. Math. Soc. , vol.282 , pp. 791-798
    • Hiai, F.1    Tsukada, M.2
  • 17
    • 0010814743 scopus 로고
    • A non-commutative ergodic theorem
    • B. Kümmerer, A non-commutative ergodic theorem, Invent. Math. 46 (1978) 139-145.
    • (1978) Invent. Math. , vol.46 , pp. 139-145
    • Kümmerer, B.1
  • 18
    • 0000362697 scopus 로고
    • Ergodic theory and virtual groups
    • G. W. Mackey, Ergodic theory and virtual groups, Math. Ann. 166 (1966) 187-207.
    • (1966) Math. Ann. , vol.166 , pp. 187-207
    • Mackey, G.W.1
  • 19
    • 0038358525 scopus 로고
    • Quasi-uniform ergodic theorems in von Neumann algebras
    • D. Petz, Quasi-uniform ergodic theorems in von Neumann algebras, Bull. London Math. Soc. 16 (1984) 151-156.
    • (1984) Bull. London Math. Soc. , vol.16 , pp. 151-156
    • Petz, D.1
  • 20
    • 0000638708 scopus 로고
    • Virtual groups and group actions
    • A. Ramsay, Virtual groups and group actions, Adv. Math. 6 (1971) 253-322.
    • (1971) Adv. Math. , vol.6 , pp. 253-322
    • Ramsay, A.1
  • 24
    • 33646924067 scopus 로고
    • Conditional expectations in von Neumann algebras
    • M. Takesaki, Conditional expectations in von Neumann algebras, J. Funct. Anal. 9 (1972) 306-321.
    • (1972) J. Funct. Anal. , vol.9 , pp. 306-321
    • Takesaki, M.1
  • 26
    • 84966246805 scopus 로고
    • Strong convergence of martingales in von Neumann algebras
    • M. Tsukada, Strong convergence of martingales in von Neumann algebras, Proc. Amer. Math. Soc. 88 (1983) 537-540.
    • (1983) Proc. Amer. Math. Soc. , vol.88 , pp. 537-540
    • Tsukada, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.