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Volumn 211, Issue 1, 2003, Pages 35-40

A property of free entropy

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EID: 0242676349     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2003.211.35     Document Type: Article
Times cited : (11)

References (9)
  • 1
    • 0031499009 scopus 로고    scopus 로고
    • Large deviations for Wigner's law and Voiculescu's noncommutative entropy
    • MR 981:15026, Zbl 0954.60029
    • G. Ben Arous and A. Guionnet, Large deviations for Wigner's law and Voiculescu's noncommutative entropy, Probab. Theory Related Fields, 108 (1997), 517-542, MR 981:15026, Zbl 0954.60029.
    • (1997) Probab. Theory Related Fields , vol.108 , pp. 517-542
    • Ben Arous, G.1    Guionnet, A.2
  • 2
    • 0039246939 scopus 로고    scopus 로고
    • Large deviations upper bounds for the laws of matrix-valued processes and non-commutative entropies
    • MR 2003a:60040
    • T. Cabanal Duvillard and A. Guionnet, Large deviations upper bounds for the laws of matrix-valued processes and non-commutative entropies, Ann. Probab., 20 (2001), 1205-1261, MR 2003a:60040.
    • (2001) Ann. Probab. , vol.20 , pp. 1205-1261
    • Cabanal Duvillard, T.1    Guionnet, A.2
  • 3
    • 0038578409 scopus 로고    scopus 로고
    • Inequality for Voiculescu's free entropy in terms of Brown measure
    • MR 1 935 566
    • P. Śniady, Inequality for Voiculescu's free entropy in terms of Brown measure, Int. Math. Res. Notices, (2003), 51-64, MR 1 935 566.
    • (2003) Int. Math. Res. Notices , pp. 51-64
    • Śniady, P.1
  • 4
    • 0000215544 scopus 로고
    • Limit laws for random matrices and free products
    • MR 92d:46163, Zbl 0736.60007
    • D. Voiculescu, Limit laws for random matrices and free products, Invent. Math., 104 (1991), 201-220, MR 92d:46163, Zbl 0736.60007.
    • (1991) Invent. Math. , vol.104 , pp. 201-220
    • Voiculescu, D.1
  • 5
    • 21144462319 scopus 로고
    • The analogues of entropy and Fisher's information measure in free probability, I
    • MR 94k:46137, Zbl 0781.60006
    • _, The analogues of entropy and Fisher's information measure in free probability, I, Comm. Math. Phys., 155 (1993), 71-92, MR 94k:46137, Zbl 0781.60006.
    • (1993) Comm. Math. Phys. , vol.155 , pp. 71-92
  • 6
    • 0000523766 scopus 로고
    • The analogues of entropy and Fisher's information measure in free probability, II
    • MR 96a:46117, Zbl 0820.60001
    • _, The analogues of entropy and Fisher's information measure in free probability, II, Invent. Math., 1118 (1994), 411-440, MR 96a:46117, Zbl 0820.60001.
    • (1994) Invent. Math. , vol.1118 , pp. 411-440
  • 7
    • 0030544382 scopus 로고    scopus 로고
    • The analogues of entropy and Fisher's information measure in free probability. III. The absence of Cartan algebras
    • MR 96m:46119, Zbl 0856.60012
    • _, The analogues of entropy and Fisher's information measure in free probability. III. The absence of Cartan algebras, Geom. Funct. Anal., 6 (1996), 172-199, MR 96m:46119, Zbl 0856.60012.
    • (1996) Geom. Funct. Anal. , vol.6 , pp. 172-199
  • 8
    • 1842679304 scopus 로고    scopus 로고
    • A strengthened asymptotic freeness result for random matrices with applications to free entropy
    • MR 2000d:46080, Zbl 0895.60004
    • _, A strengthened asymptotic freeness result for random matrices with applications to free entropy, Internat. Math. Res. Notices, (1998), 41-63, MR 2000d:46080, Zbl 0895.60004.
    • (1998) Internat. Math. Res. Notices , pp. 41-63
  • 9
    • 0001560594 scopus 로고
    • On the distribution of the roots of certain symmetric matrices
    • MR 20 #2029, Zbl 0085.13203
    • E. Wigner, On the distribution of the roots of certain symmetric matrices, Ann. Math., 67 (1958), 325-327, MR 20 #2029, Zbl 0085.13203.
    • (1958) Ann. Math. , vol.67 , pp. 325-327
    • Wigner, E.1


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