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Volumn 357, Issue 2, 2005, Pages 459-471

A tracial quantum central limit theorem

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EID: 13844298024     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9947-03-03449-4     Document Type: Article
Times cited : (13)

References (14)
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    • Philippe Biane, Quantum random walk on the dual of SU(n), Probab. Theory Related Fields 89 (1991), 117-129. MR 93a:46119
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    • Biane, P.1
  • 3
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    • A quantum-mechanical central limit theorem
    • MR 44:6277
    • C. D. Cushen and R. L. Hudson, A quantum-mechanical central limit theorem, J. Appl. Probability 8 (1971), 454-469. MR 44:6277
    • (1971) J. Appl. Probability , vol.8 , pp. 454-469
    • Cushen, C.D.1    Hudson, R.L.2
  • 4
    • 0000739839 scopus 로고
    • An algebraic version of the central limit theorem
    • MR 57:7731a
    • Narayan C. Giri and Wilhelm von Waldenfels, An algebraic version of the central limit theorem, Z. Wahrscheinlichkeitstheorie 42 (1978), 129-134. MR 57:7731a
    • (1978) Z. Wahrscheinlichkeitstheorie , vol.42 , pp. 129-134
    • Giri, N.C.1    Von Waldenfels, W.2
  • 6
    • 0003198090 scopus 로고
    • Introduction to Lie algebras and representation theory
    • Springer-Verlag, New York-Heidelberg-Berlin, MR 48:2197
    • James E. Humphreys, Introduction to Lie algebras and representation theory, Graduate Texts in Mathematics, vol. 9, Springer-Verlag, New York-Heidelberg-Berlin, 1972. MR 48:2197
    • (1972) Graduate Texts in Mathematics , vol.9
    • Humphreys, J.E.1
  • 7
    • 0035626398 scopus 로고    scopus 로고
    • Discrete orthogonal polynomial ensembles and the Plancherel measure
    • arXiv:math.CO/9906120. MR 2002g:05188
    • Kurt Johansson, Discrete orthogonal polynomial ensembles and the Plancherel measure, Ann. of Math. (2) 153 (2001), 259-296, arXiv:math.CO/9906120. MR 2002g:05188
    • (2001) Ann. of Math. (2) , vol.153 , pp. 259-296
    • Johansson, K.1
  • 10
    • 2442461022 scopus 로고    scopus 로고
    • Random words, quantum statistics, central limits, random matrices
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    • Kuperberg, G.1
  • 12
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    • A noncommutative central limit theorem for CCR-algebras
    • MR 85m:46061
    • Johan Quaegebeur, A noncommutative central limit theorem for CCR-algebras, J. Funct. Anal. 57 (1984), 1-20. MR 85m:46061
    • (1984) J. Funct. Anal. , vol.57 , pp. 1-20
    • Quaegebeur, J.1
  • 14
    • 0003251321 scopus 로고    scopus 로고
    • Lectures on free probability theory
    • (Saint-Flour, 1998), Springer, Berlin, MR 2001g:46121
    • Dan Voiculescu, Lectures on free probability theory, Lectures on probability theory and statistics (Saint-Flour, 1998), Springer, Berlin, 2000, pp. 279-349. MR 2001g:46121
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    • Voiculescu, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.