Solution of Shannon's problem on the monotonicity of entropy

被引：116

作者：

Artstein, S ^{[1
]}

Ball, KM

Barthe, F

Naor, A

机构：

[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel

[2] UCL, Dept Math, London WC1 6BT, England

[3] Univ Toulouse 3, Inst Math, Lab Stat & Probabil, CNRS,UMR C5583, F-31062 Toulouse 4, France

[4] Microsoft Corp, Res, Theory Grp, Redmond, WA 98052 USA

来源：

关键词：

entropy growth; Fisher information; central limit theorem;

D O I：

10.1090/S0894-0347-04-00459-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：975 / 982

页数：8

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Ball K, 2003, DUKE MATH J, V119, P41

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CARLEN, EA ;

SOFFER, A .

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LIEB, EH .

[6]

Shannon Claude, 1998, The Mathematical Theory of Communication

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Stam A. J., 1959, Inf. Control, V2, P101, DOI DOI 10.1016/S0019-9958(59)90348-1