메뉴 건너뛰기




Volumn 355, Issue 6, 2003, Pages 2263-2303

Non-crossing cumulants of type B

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0038707498     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-03-03196-9     Document Type: Article
Times cited : (43)

References (20)
  • 1
    • 0038369333 scopus 로고    scopus 로고
    • preprint, January (arXiv:math.GR/0101158)
    • D. Bessis. The dual braid monoid, preprint, January 2002 (arXiv:math.GR/0101158).
    • (2002) The Dual Braid Monoid
    • Bessis, D.1
  • 2
    • 0030295693 scopus 로고    scopus 로고
    • Minimal factorizations of a cycle and central multiplicative functions on the infinite symmetric group
    • MR 97h: 20003
    • P. Biane. Minimal factorizations of a cycle and central multiplicative functions on the infinite symmetric group, Journal of Combinatorial Theory Series A 76 (1996), 197-212. MR 97h: 20003
    • (1996) Journal of Combinatorial Theory Series A , vol.76 , pp. 197-212
    • Biane, P.1
  • 3
    • 0002964353 scopus 로고    scopus 로고
    • Some properties of crossings and partitions
    • MR 98h:05020
    • P. Biane. Some properties of crossings and partitions, Discrete Mathematics 175 (1997), 41-53. MR 98h:05020
    • (1997) Discrete Mathematics , vol.175 , pp. 41-53
    • Biane, P.1
  • 4
    • 0000160690 scopus 로고
    • ψ-independent symmetrized white noises
    • (L. Accardi editor), QP-PQ, VI, World Scientific, Singapore
    • M. Bozejko and R. Speicher, ψ-independent and symmetrized white noises, in Quantum Probability and Related Topics (L. Accardi editor), QP-PQ, VI, World Scientific, Singapore, (1991), 219-236.
    • (1991) Quantum Probability and Related Topics , pp. 219-236
    • Speicher, R.1    Bozejko, M.2
  • 5
    • 0035880076 scopus 로고    scopus 로고
    • A partial order on the symmetric group and new K(π, 1)'s for the braid groups
    • MR 2002k:20066
    • T. Brady. A partial order on the symmetric group and new K(π, 1)'s for the braid groups, Advances in Mathematics 161 (2001), 20-40. MR 2002k:20066
    • (2001) Advances in Mathematics , vol.161 , pp. 20-40
    • Brady, T.1
  • 7
    • 0000832268 scopus 로고
    • On the foundations of combinatorial theory (VI): The idea of generating function
    • Lucien M. Le Cam et al. editors, University of California Press, MR 53:7796
    • P. Doubilet, G.-C. Rota, and R. Stanley. On the foundations of combinatorial theory (VI): The idea of generating function, Proceedings of the sixth Berkeley symposium on mathematical statistics and probability, Lucien M. Le Cam et al. editors, University of California Press, 1972, 267-318. MR 53:7796
    • (1972) Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability , pp. 267-318
    • Doubilet, P.1    Rota, G.-C.2    Stanley, R.3
  • 11
    • 0000513203 scopus 로고
    • Sur les partitions non croisées d'un cycle
    • MR 46:8852
    • G. Kreweras. Sur les partitions non croisées d'un cycle, Discrete Mathematics 1 (1972), 333350. MR 46:8852
    • (1972) Discrete Mathematics , vol.1 , pp. 333-350
    • Kreweras, G.1
  • 12
    • 0000153674 scopus 로고    scopus 로고
    • A "Fourier transform" for multiplicative functions on non-crossing partitions
    • MR 98i:46070
    • A. Nica and R. Speicher. A "Fourier transform" for multiplicative functions on non-crossing partitions, Journal of Algebraic Combinatorics 6 (1997), 141-160. MR 98i:46070
    • (1997) Journal of Algebraic Combinatorics , vol.6 , pp. 141-160
    • Nica, A.1    Speicher, R.2
  • 13
    • 0001009889 scopus 로고    scopus 로고
    • On the multiplication of free n-tuples of noncommutative random variables. With an appendix by D. Voiculescu: Alternative proofs for the type II free poisson variables and for the compression results
    • MR 98i:46069
    • A. Nica and R. Speicher. On the multiplication of free n-tuples of noncommutative random variables. With an Appendix by D. Voiculescu: Alternative proofs for the type II free Poisson variables and for the compression results. American Journal of Mathematics 118 (1996), 799-837. MR 98i:46069
    • (1996) American Journal of Mathematics , vol.118 , pp. 799-837
    • Nica, A.1    Speicher, R.2
  • 14
    • 0008369818 scopus 로고    scopus 로고
    • The combinatorics of free probability
    • Preliminary version, December, the Henri Poincaré Institute, Paris, France
    • A. Nica and R. Speicher. The combinatorics of free probability, Preliminary version, December 1999. Lecture Notes of Centre Émile Borel, the Henri Poincaré Institute, Paris, France.
    • (1999) Lecture Notes of Centre Émile Borel
    • Nica, A.1    Speicher, R.2
  • 16
    • 0001135742 scopus 로고    scopus 로고
    • Non-crossing partitions for classical reflection groups
    • MR 99f:06005
    • V. Reiner. Non-crossing partitions for classical reflection groups, Discrete Mathematics 177 (1997), 195-222. MR 99f:06005
    • (1997) Discrete Mathematics , vol.177 , pp. 195-222
    • Reiner, V.1
  • 17
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of non-crossing partitions and free convolution
    • MR 95h:05012
    • R. Speicher. Multiplicative functions on the lattice of non-crossing partitions and free convolution, Mathematische Annalen 298 (1994), 611-628. MR 95h:05012
    • (1994) Mathematische Annalen , vol.298 , pp. 611-628
    • Speicher, R.1
  • 18
    • 4243230786 scopus 로고    scopus 로고
    • Combinatorial theory of the free product with amalgamation and operator-valued free probability theory
    • MR 98i:46071
    • R. Speicher. Combinatorial theory of the free product with amalgamation and operator-valued free probability theory, Memoirs of the Amer. Math. Soc. 132 (1998), no. 627. MR 98i:46071
    • (1998) Memoirs of the Amer. Math. Soc. , vol.132 , Issue.627
    • Speicher, R.1
  • 19
    • 0000404789 scopus 로고
    • Addition of certain noncommuting random variables
    • MR 87j:46122
    • D. Voiculescu. Addition of certain noncommuting random variables, Journal of Functional Analysis 66 (1986), 323-346. MR 87j:46122
    • (1986) Journal of Functional Analysis , vol.66 , pp. 323-346
    • Voiculescu, D.1
  • 20
    • 0003341427 scopus 로고
    • Free random variables
    • American Mathematical Society, Providence, RI, MR 94c:46133
    • D. Voiculescu, K. Dykema, and A. Nica. Free random variables, CRM Monograph Series, volume 1, American Mathematical Society, Providence, RI, 1992. MR 94c:46133
    • (1992) CRM Monograph Series , vol.1
    • Voiculescu, D.1    Dykema, K.2    Nica, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.