메뉴 건너뛰기




Volumn 92, Issue 3, 1998, Pages 553-592

Commutators of free random variables

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000170850     PISSN: 00127094     EISSN: None     Source Type: Journal    
DOI: 10.1215/S0012-7094-98-09216-X     Document Type: Article
Times cited : (71)

References (18)
  • 2
    • 0003341319 scopus 로고
    • The Theory of Partitions
    • Addison-Wesley, Reading, Mass
    • G. E. Andrews, The Theory of Partitions, Encyclopedia Math. Appl. 2, Addison-Wesley, Reading, Mass., 1976.
    • (1976) Encyclopedia Math. Appl , vol.2
    • Andrews, G.E.1
  • 3
    • 0001410646 scopus 로고
    • Free convolution of measures with unbounded support
    • H. Bercovici and D. Voiculescu, Free convolution of measures with unbounded support, Indiana Univ. Math. J. 42 (1993), 733-773.
    • (1993) Indiana Univ. Math. J , vol.42 , pp. 733-773
    • Bercovici, H.1    Voiculescu, D.2
  • 7
    • 0000513203 scopus 로고
    • Sur les partitions non-croisees d’un cycle
    • G. Kreweras, Sur les partitions non-croisees d’un cycle, Discrete Math. 1 (1972), 333-350.
    • (1972) Discrete Math , vol.1 , pp. 333-350
    • Kreweras, G.1
  • 8
    • 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. Funct. Anal. 135 (1996), 271-296.
    • (1996) J. Funct. Anal , vol.135 , pp. 271-296
    • Nica, A.1
  • 9
    • 0008373205 scopus 로고    scopus 로고
    • R-diagonal pairs arising as free off-diagonal compression
    • A. Nica, R-diagonal pairs arising as free off-diagonal compression, Indiana Univ. Math. J. 45 (1996), 529-544.
    • (1996) Indiana Univ. Math. J , vol.45 , pp. 529-544
    • Nica, A.1
  • 10
    • 0000153674 scopus 로고    scopus 로고
    • A “Fourier transform” for multiplicative functions on non-crossing Partitions
    • A. Nica and R. Speicher, A “Fourier transform” for multiplicative functions on non-crossing Partitions, J. Algebraic Combin. 6 (1997), 141-160.
    • (1997) J. Algebraic Combin , vol.6 , pp. 141-160
    • Nica, A.1    Speicher, R.2
  • 11
    • 0001009889 scopus 로고    scopus 로고
    • On the multiplication of free n-tuples of non-commutative random variables, with an appendix “Alternative proofs for the type II free Poisson variables and for the free compression results” by D. Voiculescu
    • A. Nica and R. Speicher, On the multiplication of free n-tuples of non-commutative random variables, with an appendix “Alternative proofs for the type II free Poisson variables and for the free compression results” by D. Voiculescu, Amer. J. Math. 118 (1996), 799-837.
    • (1996) Amer. J. Math , vol.118 , pp. 799-837
    • Nica, A.1    Speicher, R.2
  • 12
    • 0001102352 scopus 로고    scopus 로고
    • R-diagonal pairs—a common approach to Haar unitaries and circular elements
    • Free Probability Theory (Waterloo, Ont., 1995), Amer. Math. Soc., Providence
    • A. Nica and R. Speicher, “R-diagonal pairs—a common approach to Haar unitaries and circular elements” in Free Probability Theory (Waterloo, Ont., 1995), Fields Inst. Commun. 12, Amer. Math. Soc., Providence, 1997, 149-188.
    • (1997) Fields Inst. Commun , vol.12 , pp. 149-188
    • Nica, A.1    Speicher, R.2
  • 13
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of noncrossing partitions and free convolution
    • R. Speicher, Multiplicative functions on the lattice of noncrossing partitions and free convolution, Math. Ann. 298 (1994), 611-628.
    • (1994) Math. Ann , vol.298 , pp. 611-628
    • Speicher, R.1
  • 15
    • 0000404789 scopus 로고
    • Addition of certain noncommuting random variables
    • D. Voiculescu, Addition of certain noncommuting random variables, J. Funct. Anal. 66 (1986), 323-346.
    • (1986) J. Funct. Anal , vol.66 , pp. 323-346
    • Voiculescu, D.1
  • 16
    • 0001465703 scopus 로고
    • Multiplication of certain noncommuting random variables
    • D. Voiculescu, Multiplication of certain noncommuting random variables, J. Operator Theory 18 (1987), 223-235.
    • (1987) J. Operator Theory , vol.18 , pp. 223-235
    • Voiculescu, D.1
  • 17
    • 0003385937 scopus 로고
    • Free probability theory: Random matrices and von Neumann algebras
    • Zurich, 1994, Birkhauser, Basel
    • D. Voiculescu, “Free probability theory: Random matrices and von Neumann algebras” in Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zurich, 1994), Birkhauser, Basel, 1995, 227-241.
    • (1995) Proceedings of the International Congress of Mathematicians , vol.1-2 , pp. 227-241
    • Voiculescu, D.1
  • 18
    • 0004195394 scopus 로고
    • Free Random Variables
    • Amer. Math. Soc., Providence
    • D. Voiculescu, K. Dykema, and A. Nica, Free Random Variables, CRM Monogr. Ser. 1, Amer. Math. Soc., Providence, 1992.
    • (1992) CRM Monogr. Ser , vol.1
    • Voiculescu, D.1    Dykema, K.2    Nica, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.