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Volumn 36, Issue 2, 2002, Pages 93-105

Classification of measurable functions of several variables and invariantly distributed random matrices

Author keywords

Classification of functions; Infinite symmetric group; Matrix distributions

Indexed keywords


EID: 0036277262     PISSN: 00162663     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1015662321953     Document Type: Article
Times cited : (21)

References (13)
  • 1
    • 0001090598 scopus 로고
    • Representations for partially exchangeable arrays of random variables
    • D. J. Aldous, "Representations for partially exchangeable arrays of random variables," J. Multivariate Anal., 11, No. 4, 581-598 (1981).
    • (1981) J. Multivariate Anal. , vol.11 , Issue.4 , pp. 581-598
    • Aldous, D.J.1
  • 2
    • 0000363076 scopus 로고
    • Exchangeability and related topics
    • XIII-1983, Lect. Notes in Math., Springer-Verlag, Berlin
    • D. Aldous, "Exchangeability and related topics," In: École d'ètè de probabilitès de Saint-Flour, XIII-1983, Lect. Notes in Math., 1117, Springer-Verlag, Berlin, 1985, pp. 1-198.
    • (1985) École d'Ètè de Probabilitès de Saint-Flour , vol.1117 , pp. 1-198
    • Aldous, D.1
  • 3
    • 0035600116 scopus 로고    scopus 로고
    • Polish metric spaces: Their classification and isometry groups
    • J. D. Clemens, S. Gao, and A. S. Kechris, "Polish metric spaces: their classification and isometry groups," Bull. Symbolic Logic, 7, No. 3, 361-375 (2001).
    • (2001) Bull. Symbolic Logic , vol.7 , Issue.3 , pp. 361-375
    • Clemens, J.D.1    Gao, S.2    Kechris, A.S.3
  • 5
    • 0039893463 scopus 로고
    • Symmetries on random arrays and set-indexed processes
    • O. Kallenberg, "Symmetries on random arrays and set-indexed processes," J. Theoret. Probab., 5, No. 4, 727-765 (1992).
    • (1992) J. Theoret. Probab. , vol.5 , Issue.4 , pp. 727-765
    • Kallenberg, O.1
  • 6
    • 21844491937 scopus 로고
    • Random arrays and functionals with multivariate rotational symmetries
    • O. Kallenberg, "Random arrays and functionals with multivariate rotational symmetries," Probab. Theory Related Fields, 103, No. 1, 91-141 (1995).
    • (1995) Probab. Theory Related Fields , vol.103 , Issue.1 , pp. 91-141
    • Kallenberg, O.1
  • 7
    • 0000236195 scopus 로고    scopus 로고
    • Ergodic unitarily invariant measures on the space of infinite Hermitian matrices
    • G. Olshanski and A. Vershik, "Ergodic unitarily invariant measures on the space of infinite Hermitian matrices," Amer. Math. Soc. Transl. Ser. 2, Vol. 175, 137-175 (1996).
    • (1996) Amer. Math. Soc. Transl. Ser. 2 , vol.175 , pp. 137-175
    • Olshanski, G.1    Vershik, A.2
  • 8
    • 0003377257 scopus 로고
    • Separable representations for automorphism groups of infinite symmetric spaces
    • D. Pickrell, "Separable representations for automorphism groups of infinite symmetric spaces," J. Funct. Anal., 90, 1-26 (1990).
    • (1990) J. Funct. Anal. , vol.90 , pp. 1-26
    • Pickrell, D.1
  • 9
    • 0141511499 scopus 로고
    • Metric classification of measurable functions
    • V. A. Rokhlin, "Metric classification of measurable functions, " Usp. Mat. Nauk, 12, no. 2 (74), 169-174 (1957).
    • (1957) Usp. Mat. Nauk. , vol.12 , Issue.2-74 , pp. 169-174
    • Rokhlin, V.A.1
  • 10
    • 0002410920 scopus 로고    scopus 로고
    • The universal Uryson space, Gromov's metric triples, and random metrics on the series on natural numbers
    • A. M. Vershik, "The universal Uryson space, Gromov's metric triples, and random metrics on the series on natural numbers," Usp. Mat. Nauk, 53, No. 5, 57-64 (1998).
    • (1998) Usp. Mat. Nauk. , vol.53 , Issue.5 , pp. 57-64
    • Vershik, A.M.1
  • 11
    • 0040520724 scopus 로고
    • A description of invariant measures for actions of certain infinite-dimensional groups
    • A. M. Vershik, "A description of invariant measures for actions of certain infinite-dimensional groups," Dokl. Akad. Nauk SSSR, 218, No. 4, 749-752 (1974).
    • (1974) Dokl. Akad. Nauk SSSR , vol.218 , Issue.4 , pp. 749-752
    • Vershik, A.M.1
  • 12
    • 85192651642 scopus 로고    scopus 로고
    • Classification of the measurable functions of several variables and invariant measures on the space of matrices and tensors
    • The Erwin Sehrödinger International Institute for Mathematical Physics
    • A. Vershik, "Classification of the Measurable Functions of Several Variables and Invariant Measures on the Space of Matrices and Tensors," Preprint ESI (The Erwin Sehrödinger International Institute for Mathematical Physics), No. 1107 (2001), pp. 1-23.
    • (2001) Preprint ESI , Issue.1107 , pp. 1-23
    • Vershik, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.