Logarithmic Sobolev Inequalities, Matrix Models and Free Entropy
Logarithmic Sobolev Inequalities, Matrix Models and Free Entropy作者机构：CNRSDepartementdeMathematiquesetApplicationsEcoleNormaleSupericure45rued'Ulm75005ParisFrance
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)
年 卷 期：2003年第19卷第3期
页 面：497-506页
核心收录：
学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学] 07[理学] 0701[理学-数学]
主 题：Free probability Random matrices Logarithmic Sobolev inequalities
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.
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