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Volumn 80, Issue 4, 1998, Pages 335-356

Maximizing free entropy

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EID: 0032221988     PISSN: 02365294     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1006594508396     Document Type: Article
Times cited : (5)

References (17)
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    • G. Ben Arous and A. Guionnet, Large deviation for Wigner's law and Voiculescu's noncommutative entropy, Prob. Theory Rel. Fields, 108 (1997), 517-542.
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  • 4
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    • Gross, D.J.1    Witten, E.2
  • 9
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    • Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
    • H. N. Mhaskar and E. B. Saff, Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials), Constr. Approx., 1 (1985), 71-91.
    • (1985) Constr. Approx. , vol.1 , pp. 71-91
    • Mhaskar, H.N.1    Saff, E.B.2
  • 11
    • 0000159713 scopus 로고    scopus 로고
    • Logarithmic energy as an entropy functional
    • eds. E. Carlen, E. M. Harell, M. Loss, Amer. Math. Soc.
    • D. Petz and F. Hiai, Logarithmic energy as an entropy functional, in Advances in Differential Equations and Mathematical Physics, eds. E. Carlen, E. M. Harell, M. Loss, Amer. Math. Soc., 1998.
    • (1998) Advances in Differential Equations and Mathematical Physics
    • Petz, D.1    Hiai, F.2
  • 13
    • 0003256153 scopus 로고
    • Weighted approximation with varying weight
    • Springer Berlin
    • V. Totik, Weighted Approximation with Varying Weight, Lecture Notes in Math. 1569, Springer (Berlin, 1994).
    • (1994) Lecture Notes in Math. , vol.1569
    • Totik, V.1
  • 14
    • 21144462319 scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, I
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    • (1993) Comm. Math. Phys. , vol.155 , pp. 71-92
    • Voiculescu, D.1
  • 15
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    • The analogues of entropy and of Fisher's information measure in free probability theory, II
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    • (1994) Invent. Math. , vol.118 , pp. 411-440
    • Voiculescu, D.1
  • 16
    • 0000824331 scopus 로고    scopus 로고
    • The analogues of entropy and of Fisher's information measure in free probability theory, IV: Maximum entropy and freeness
    • D. V. Voiculescu (ed.), Fields Inst. Comm., Amer. Math. Soc.
    • D. Voiculescu, The analogues of entropy and of Fisher's information measure in free probability theory, IV: maximum entropy and freeness, in Free Probability Theory, D. V. Voiculescu (ed.), Fields Inst. Comm., Vol. 12, Amer. Math. Soc., 1997, pp. 293-302.
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