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Applied Mathematics and Computation
Volumn 194, Issue 2, 2007, Pages 561-567
Computing moments of free additive convolution of measures
Author keywords

Free cumulants; R transform
Indexed keywords

CODES (SYMBOLS); COMPUTATIONAL METHODS; COMPUTER PROGRAMMING; COMPUTER SOFTWARE; PROBABILITY;
EID: 36049030888     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.04.025     Document Type: Article
Times cited : (4)
References (11)
  • 1
    • 0001410646 scopus 로고
    • Free convolution of measures with unbounded support
    • Bercovici H., and Voiculescu D. Free convolution of measures with unbounded support. Indiana Univ. Math. J. 42 3 (1993) 733-773
    • (1993) Indiana Univ. Math. J. , vol.42 , Issue.3 , pp. 733-773
    • Bercovici, H.1    Voiculescu, D.2
  • 2
    • 0000178404 scopus 로고    scopus 로고
    • Interpolations between bosonic and fermionic relations given by generalized Brownian motions
    • Bożejko M., and Speicher R. Interpolations between bosonic and fermionic relations given by generalized Brownian motions. Math. Z. 222 1 (1996) 135-159
    • (1996) Math. Z. , vol.222 , Issue.1 , pp. 135-159
    • Bozejko, M.1    Speicher, R.2
  • 3
    • 33644950826 scopus 로고    scopus 로고
    • Spectral measure of large random Hankel, Markov and Toeplitz matrices
    • Bryc W., Dembo A., and Jiang T. Spectral measure of large random Hankel, Markov and Toeplitz matrices. Ann. Probab. 34 (2005) 1-38. Expanded version: arxiv.org/abs/math.PR/0307330
    • (2005) Ann. Probab. , vol.34 , pp. 1-38
    • Bryc, W.1    Dembo, A.2    Jiang, T.3
  • 4
    • 0005141929 scopus 로고    scopus 로고
    • The semicircle law, free random variables and entropy
    • American Mathematical Society, Providence, RI
    • Hiai F., and Petz D. The semicircle law, free random variables and entropy. Mathematical Surveys and Monographs vol. 77 (2000), American Mathematical Society, Providence, RI
    • (2000) Mathematical Surveys and Monographs , vol.77
    • Hiai, F.1    Petz, D.2
  • 5
    • 0036445108 scopus 로고    scopus 로고
    • Free cumulants and enumeration of connected partitions
    • Lehner F. Free cumulants and enumeration of connected partitions. Eur. J. Combin. 23 8 (2002) 1025-1031
    • (2002) Eur. J. Combin. , vol.23 , Issue.8 , pp. 1025-1031
    • Lehner, F.1
  • 6
    • 0001457433 scopus 로고
    • Addition of freely independent random variables
    • Maassen H. Addition of freely independent random variables. J. Funct. Anal. 106 2 (1992) 409-438
    • (1992) J. Funct. Anal. , vol.106 , Issue.2 , pp. 409-438
    • Maassen, H.1
  • 8
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of non-crossing partitions and free convolution
    • Speicher R. Multiplicative functions on the lattice of non-crossing partitions and free convolution. Math. Ann. 298 4 (1994) 611-628
    • (1994) Math. Ann. , vol.298 , Issue.4 , pp. 611-628
    • Speicher, R.1
  • 9
    • 36048999732 scopus 로고    scopus 로고
    • R. Speicher, Free probability theory and non-crossing partitions, Sém. Lothar. Combin. 39 (1997), Art. B39c, p. 38 (electronic).
  • 11
    • 0001146474 scopus 로고
    • *-algebras
    • Operator Algebras and Their Connections with Topology and Ergodic Theory (Buşteni, 1983), Springer, Berlin
    • *-algebras. Operator Algebras and Their Connections with Topology and Ergodic Theory (Buşteni, 1983). Lecture Notes in Math vol. 1132 (1985), Springer, Berlin 556-588
    • (1985) Lecture Notes in Math , vol.1132 , pp. 556-588
    • Voiculescu, D.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.