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Volumn 118, Issue 4, 1996, Pages 799-837

On the multiplication of free n-tuples of noncommutative random variables

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EID: 0001009889     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (132)

References (17)
  • 1
    • 51249165336 scopus 로고
    • Superconvergence to the central limit and failure of the Cramer Theorem for free random variables
    • H. Bercovici and D. Voiculescu, Superconvergence to the central limit and failure of the Cramer Theorem for free random variables, Probab. Theory Related Fields 102 (1995), 215-222.
    • (1995) Probab. Theory Related Fields , vol.102 , pp. 215-222
    • Bercovici, H.1    Voiculescu, D.2
  • 4
    • 0000513203 scopus 로고
    • Sur les partitions non-croisées d'un cycle
    • G. Kreweras, Sur les partitions non-croisées d'un cycle, Discrete Math. 1 (1972), 333-350.
    • (1972) Discrete Math. , vol.1 , pp. 333-350
    • Kreweras, G.1
  • 5
    • 0030079324 scopus 로고    scopus 로고
    • R-transforms of free joint distributions, and non-crossing partitions
    • A. Nica, R-transforms of free joint distributions, and non-crossing partitions, J. Func. Anal. 135 (1996), 271-296.
    • (1996) J. Func. Anal. , vol.135 , pp. 271-296
    • Nica, A.1
  • 7
    • 0002207827 scopus 로고
    • On the structure of the lattice of non-crossing partitions
    • R. Simion and D. Ullman, On the structure of the lattice of non-crossing partitions. Discrete Math. 98 (1991), 193-206.
    • (1991) Discrete Math. , vol.98 , pp. 193-206
    • Simion, R.1    Ullman, D.2
  • 8
    • 0040849598 scopus 로고
    • Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
    • Heidelberg
    • R. Speicher, Combinatorial theory of the free product with amalgamation and operator-valued free probability theory, Habilitationsschrift, Heidelberg, 1994.
    • (1994) Habilitationsschrift
    • Speicher, R.1
  • 9
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of non-crossing partitions and free convolution
    • _, Multiplicative functions on the lattice of non-crossing partitions and free convolution, Math. Ann. 298 (1994), 611-628.
    • (1994) Math. Ann. , vol.298 , pp. 611-628
  • 11
    • 0002216531 scopus 로고
    • Sur un problème de configurations et sur les fractions continues
    • J. Touchard, Sur un problème de configurations et sur les fractions continues, Canad. J. Math. 4 (1952), 2-25.
    • (1952) Canad. J. Math. , vol.4 , pp. 2-25
    • Touchard, J.1
  • 13
    • 0000404789 scopus 로고
    • Addition of certain non-commuting random variables
    • _, Addition of certain non-commuting random variables, J. Funct. Anal. 66 (1986), 323-346.
    • (1986) J. Funct. Anal. , vol.66 , pp. 323-346
  • 14
    • 0001465703 scopus 로고
    • Multiplication of certain non-commuting random variables
    • _, Multiplication of certain non-commuting random variables, J. Operator Theory 18 (1987), 223-235.
    • (1987) J. Operator Theory , vol.18 , pp. 223-235
  • 16
    • 0003385937 scopus 로고
    • Free probability theory: Random matrices and von Neumann algebras
    • Birkhäuser, Boston
    • _, Free probability theory: random matrices and von Neumann algebras, Proceedings of the International Congress of Mathematicians, Zürich, 1994, Birkhäuser, Boston, 1995, pp. 227-241.
    • (1995) Proceedings of the International Congress of Mathematicians, Zürich, 1994 , pp. 227-241


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.