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Logarithmic Sobolev Inequalities, Matrix Models and Free Entropy

Logarithmic Sobolev Inequalities, Matrix Models and Free Entropy
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摘要 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. 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.
作者 PhilippeBIANE
机构地区 CNRS
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2003年第3期497-506,共10页 数学学报(英文版)
关键词 Free probability Random matrices Logarithmic Sobolev inequalities Keywords Free probability, Random matrices, Logarithmic Sobolev inequalities
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