The analogues of entropy and of Fisher's information measure in free probability theory, II.

Dan Voiculescu

Inventiones mathematicae (1994)

  • Volume: 118, Issue: 3, page 411-440
  • ISSN: 0020-9910; 1432-1297/e

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Voiculescu, Dan. "The analogues of entropy and of Fisher's information measure in free probability theory, II.." Inventiones mathematicae 118.3 (1994): 411-440. <http://eudml.org/doc/144242>.

@article{Voiculescu1994,
author = {Voiculescu, Dan},
journal = {Inventiones mathematicae},
keywords = {logarithmic energy; statistical weight of approximating microstates; noncommutative functional calculus; free entropy dimension; free group factors},
number = {3},
pages = {411-440},
title = {The analogues of entropy and of Fisher's information measure in free probability theory, II.},
url = {http://eudml.org/doc/144242},
volume = {118},
year = {1994},
}

TY - JOUR
AU - Voiculescu, Dan
TI - The analogues of entropy and of Fisher's information measure in free probability theory, II.
JO - Inventiones mathematicae
PY - 1994
VL - 118
IS - 3
SP - 411
EP - 440
KW - logarithmic energy; statistical weight of approximating microstates; noncommutative functional calculus; free entropy dimension; free group factors
UR - http://eudml.org/doc/144242
ER -

Citations in EuDML Documents

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  1. Fumio Hiai, Yoshimichi Ueda, A log-Sobolev type inequality for free entropy of two projections
  2. Dan Voiculescu, The noncommutative Hilbert transform approach to free entropy
  3. Serban Teodor Belinschi, A note on regularity for free convolutions
  4. Philippe Biane, Roland Speicher, Free diffusions, free entropy and free Fisher information
  5. Fumio Hiai, Dénes Petz, A large deviation theorem for the empirical eigenvalue distribution of random unitary matrices
  6. Thomas Bloom, Voiculescu’s Entropy and Potential Theory
  7. Alain Connes, Nombres de Betti L 2 et facteurs de type II 1
  8. Philippe Biane, Entropie libre et algèbres d'opérateurs
  9. Stefaan Vaes, États quasi-libres libres et facteurs de type III
  10. Yoann Dabrowski, A free stochastic partial differential equation

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