Logarithmic Sobolev Inequalities, Matrix Models and Free Entropy
- Cite this article as:
- Biane, P. Acta Math Sinica (2003) 19: 497. doi:10.1007/s10114-003-0271-5
We give two applications of logarithmic Sobolev inequalities to matrix models and free probability. We also provide a new characterization of semi-circular systems through a Poincaré-type inequality.
KeywordsFree probabilityRandom matricesLogarithmic Sobolev inequalities
MR (2000) Subject Classification46L5460G1594A17
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