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Volumn 33, Issue 3, 2005, Pages 1134-1170

Classical and free infinitely divisible distributions and random matrices

Author keywords

Asymptotic freeness; Free convolution; Free probability; Infinitely divisible distributions; Marchenko Pastur distribution; Random matrices

Indexed keywords


EID: 18844444536     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/009117904000000982     Document Type: Article
Times cited : (23)

References (14)
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    • Anshelevich, M.V.1
  • 2
    • 0000504532 scopus 로고    scopus 로고
    • Selfdecomposability and Lévy processes in free probability
    • BARNDORFF-NIELSEN, O. E. and THORBJOØRNSEN, S. (2002). Selfdecomposability and Lévy processes in free probability. Bernoulli 3 323-366.
    • (2002) Bernoulli , vol.3 , pp. 323-366
    • Barndorff-Nielsen, O.E.1    Thorbjoørnsen, S.2
  • 4
    • 0033464422 scopus 로고    scopus 로고
    • Stable laws and domains of attraction in free probability theory
    • BERCOVICI, H., PATA, V., with an appendix by BIANE, P. (1999). Stable laws and domains of attraction in free probability theory. Ann. of Math. 149 1023-1060.
    • (1999) Ann. of Math. , vol.149 , pp. 1023-1060
    • Bercovici, H.1    Pata, V.2    Biane, P.3
  • 5
    • 0001410646 scopus 로고
    • Free convolution of measures with unbounded supports
    • BERCOVICI, H. and VOICULESCU, D. (1993). Free convolution of measures with unbounded supports. Indiana Univ. Math. J. 42 733-773.
    • (1993) Indiana Univ. Math. J. , vol.42 , pp. 733-773
    • Bercovici, H.1    Voiculescu, D.2
  • 8
    • 0001164604 scopus 로고    scopus 로고
    • Brown's spectral distribution measure for R-diagonal elements in finite von Neumann algebras
    • HAAGERUP, U. and LARSEN, F. (2000). Brown's spectral distribution measure for R-diagonal elements in finite von Neumann algebras. J. Funct. Anal. 176 331-367.
    • (2000) J. Funct. Anal. , vol.176 , pp. 331-367
    • Haagerup, U.1    Larsen, F.2
  • 10
    • 0034348251 scopus 로고    scopus 로고
    • On the law of addition of random matrices
    • PASTUR, L. and VASILCHUK, V. (2000). On the law of addition of random matrices. Comm. Math. Phys. 214 249-286.
    • (2000) Comm. Math. Phys. , vol.214 , pp. 249-286
    • Pastur, L.1    Vasilchuk, V.2
  • 12
    • 0038902037 scopus 로고
    • Multiplicative functions on the lattice of non-crossing partitions and free convolution
    • SPEICHER, R. (1994). Multiplicative functions on the lattice of non-crossing partitions and free convolution. Math. Ann. 298 611-628.
    • (1994) Math. Ann. , vol.298 , pp. 611-628
    • Speicher, R.1
  • 14
    • 0000215544 scopus 로고
    • Limit laws for random matrices and free products
    • VOICULESCU, D. V. (1991). Limit laws for random matrices and free products. Invent. Math. 104 201-220.
    • (1991) Invent. Math. , vol.104 , pp. 201-220
    • Voiculescu, D.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.