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Volumn 135, Issue 2, 1996, Pages 271-296

R-transforms of free joint distributions and non-crossing partitions

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EID: 0030079324     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1996.0011     Document Type: Article
Times cited : (53)

References (14)
  • 5
    • 0000513203 scopus 로고
    • Sur les partitions non-croisées d'un cycle
    • 5. 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
  • 6
    • 21844510141 scopus 로고
    • A one-parameter family of transforms, linearizing convolution laws for probability distributions
    • 6. A. NICA, A one-parameter family of transforms, linearizing convolution laws for probability distributions, Comm. Math. Physics 168 (1995), 187-207.
    • (1995) Comm. Math. Physics , vol.168 , pp. 187-207
    • Nica, A.1
  • 7
    • 0001416362 scopus 로고
    • Études et dénombrement parallèles des partitions non-croisées d'un cycle et des découpages d'un polygone convexe
    • 7. Y. POUPARD, Études et dénombrement parallèles des partitions non-croisées d'un cycle et des découpages d'un polygone convexe, Discrete Math. 2 (1972), 279-288.
    • (1972) Discrete Math. , vol.2 , pp. 279-288
    • Poupard, Y.1
  • 8
    • 0004225404 scopus 로고
    • Springer-Verlag, New York/Berlin
    • 8. A. N. SHIRYAYEV, "Probability," Springer-Verlag, New York/Berlin, 1984.
    • (1984) Probability
    • Shiryayev, A.N.1
  • 9
    • 0002207827 scopus 로고
    • On the structure of the lattice of non-crossing partitions
    • 9. 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
  • 10
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of non-crossing partitions and free convolution
    • 10. R. SPEICHER, 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
    • Speicher, R.1
  • 12
    • 0001146474 scopus 로고
    • Symmetries of some reduced free product C*-algebras
    • H. Araki, C. C. Moore, S. Stratila, and D. Voiculescu, Eds., Springer Lecture Notes in Mathematics, Springer-Verlag, Berlin
    • 12. D. VOICULESCU, Symmetries of some reduced free product C*-algebras, in "Operator Algebras and Their Connection with Topology and Ergodic Theory" (H. Araki, C. C. Moore, S. Stratila, and D. Voiculescu, Eds.), pp. 556-588, Springer Lecture Notes in Mathematics, Vol. 1132, Springer-Verlag, Berlin, 1985.
    • (1985) Operator Algebras and Their Connection with Topology and Ergodic Theory , vol.1132 , pp. 556-588
    • Voiculescu, D.1
  • 13
    • 0000404789 scopus 로고
    • Addition of certain non-commuting random variables
    • 13. D. VOICULESCU, Addition of certain non-commuting random variables, J. Funct. Anal. 66 (1986), 323-346.
    • (1986) J. Funct. Anal. , vol.66 , pp. 323-346
    • Voiculescu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.