Free Entropy
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[1] J. Cooper,et al. Les Algebres d'Operateurs dans l'Espace Hilbertien , 1958 .
[2] E. Wigner. On the Distribution of the Roots of Certain Symmetric Matrices , 1958 .
[3] J. Feldman,et al. Ergodic equivalence relations, cohomology, and von Neumann algebras , 1975 .
[4] Calvin C. Moore,et al. Ergodic equivalence relations, cohomology, and von Neumann algebras. II , 1977 .
[5] R. Kadison,et al. Fundamentals of the Theory of Operator Algebras , 1983 .
[6] D. Voiculescu. Symmetries of some reduced free product C*-algebras , 1985 .
[7] Calvin C. Moore,et al. Operator Algebras and their Connections with Topology and Ergodic Theory , 1985 .
[8] A. Barron. ENTROPY AND THE CENTRAL LIMIT THEOREM , 1986 .
[9] E. Carlen,et al. Entropy production by block variable summation and central limit theorems , 1991 .
[10] Thomas M. Cover,et al. Elements of Information Theory , 2005 .
[11] E. Carlen. Superadditivity of Fisher's information and logarithmic Sobolev inequalities , 1991 .
[12] D. Voiculescu. Limit laws for Random matrices and free products , 1991 .
[13] Ken Dykema. FREE PRODUCTS OF HYPERFINITE VON NEUMANN ALGEBRAS AND FREE DIMENSION , 2008 .
[14] K. Dykema. On Certain Free Product Factors via an Extended Matrix Model , 1992, funct-an/9211011.
[15] D. Voiculescu. The analogues of entropy and of Fisher's information measure in free probability theory, I , 1993 .
[16] D. Voiculescu. The analogues of entropy and of Fisher's information measure in free probability theory, II , 1994 .
[17] F. Rădulescu. Random matrices, amalgamated free products and subfactors of the von Neumann algebra of a free group, of noninteger index , 1994 .
[18] D. Voiculescu. The analogues of entropy and of fisher's information measure in free probability theory III: The absence of cartan subalgebras , 1996 .
[19] D. Shlyakhtenko. Random Gaussian band matrices and freeness with amalgamation , 1996 .
[20] S. Szarek,et al. Volumes of restricted Minkowski sums and the free analogue of the entropy power inequality , 1995, math/9510203.
[21] L. Pastur. Spectral and probabilistic aspects of matrix models , 1996 .
[22] R. Speicher. Free Probability Theory , 1996, Oberwolfach Reports.
[23] Two applications of free entropy , 1996, funct-an/9605005.
[24] Anne Boutet de Monvel,et al. Algebraic and Geometric Methods in Mathematical Physics , 1996 .
[25] The derivative of order 1/2 of a free convolution by a semicircle distribution , 1997 .
[26] Alice Guionnet,et al. Large deviations for Wigner's law and Voiculescu's non-commutative entropy , 1997 .
[27] L. Ge. Applications of free entropy to finite von Neumann algebras , 1997 .
[28] D. Voiculescu. The analogues of entropy and of Fisher's information measure in free probability theory V. Noncommutative Hilbert Transforms , 1998 .
[29] Roland Speicher,et al. Combinatorial Theory of the Free Product With Amalgamation and Operator-Valued Free Probability Theory , 1998 .
[30] Some Minimization Problems for the Free Analogue of the Fisher Information , 1998, math/9809080.
[31] APPLICATIONS OF FREE ENTROPY TO FINITE VON NEUMANN ALGEBRAS, II , 1998 .
[32] D. Voiculescu. A strengthened asymptotic freeness result for random matrices with applications to free entropy , 1998 .
[33] Dan Voiculescu,et al. The Analogues of Entropy and of Fisher's Information Measure in Free Probability Theory: VI. Liberation and Mutual Free Information , 1999 .
[34] D. Voiculescu,et al. A free probability analogue of the Wasserstein metric on the trace-state space , 2000, math/0006044.
[35] A. Guionnet,et al. Large Deviations Upper Bounds and Non Commutative Entropies for Some Matrices Ensembles , 2000 .
[36] D. Shlyakhtenko. Free entropy with respect to a completely positive map , 2000 .
[37] Damien Gaboriau. Coût des relations d’équivalence et des groupes , 2000 .
[38] D. Voiculescu. The coalgebra of the free difference quotient and free probability , 2000 .
[39] A Note on Cyclic Gradients , 2000, math/0005045.
[40] Free Fisher Information¶with Respect to a Completely Positive Map¶and Cost of Equivalence Relations , 2001 .
[41] Philippe Biane,et al. Free diffusions, free entropy and free Fisher information , 2001 .
[42] A. V. D. Vaart,et al. Lectures on probability theory and statistics , 2002 .
[43] Indecomposability of free group factors over nonprime subfactors and abelian subalgebras , 2004, math/0402108.
[44] O. Johnson. Free Random Variables , 2004 .