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Volumn 17, Issue 4, 2004, Pages 975-982

Solution of Shannon's problem on the monotonicity of entropy

Author keywords

Central limit theorem; Entropy growth; Fisher information

Indexed keywords


EID: 10044228109     PISSN: 08940347     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0894-0347-04-00459-X     Document Type: Article
Times cited : (160)

References (7)
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    • Séminaire de Probabilités XIX, Springer, MR88j:60131
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    • (1985) Lect. Notes in Math. , vol.1123 , pp. 179-206
    • Bakry, D.1    Emery, M.2
  • 2
    • 0042236601 scopus 로고    scopus 로고
    • Entropy jumps in the presence of a spectral gap
    • K. Ball, F. Barthe, and A. Naor. Entropy jumps in the presence of a spectral gap. Duke Math. J., 119(1):41-63, 2003.
    • (2003) Duke Math. J. , vol.119 , Issue.1 , pp. 41-63
    • Ball, K.1    Barthe, F.2    Naor, A.3
  • 3
    • 0000061719 scopus 로고
    • Entropy and the central limit theorem
    • MR87h:60048
    • A. R. Barron. Entropy and the central limit theorem. Ann. Probab., 14:336-342, 1986. MR87h:60048
    • (1986) Ann. Probab. , vol.14 , pp. 336-342
    • Barron, A.R.1
  • 4
    • 0000860574 scopus 로고
    • Entropy production by block variable summation and central limit theorems
    • MR92m:60020
    • E. A. Carlen and A. Soffer. Entropy production by block variable summation and central limit theorems. Commun. Math. Phys., 140(2) :339-371, 1991. MR92m:60020
    • (1991) Commun. Math. Phys. , vol.140 , Issue.2 , pp. 339-371
    • Carlen, E.A.1    Soffer, A.2
  • 5
    • 0002303432 scopus 로고
    • Proof of an entropy conjecture of Wehrl
    • MR80d:82032
    • E. H. Lieb. Proof of an entropy conjecture of Wehrl. Comm. Math. Phys., 62, no. 1:35-41, 1978. MR80d:82032
    • (1978) Comm. Math. Phys. , vol.62 , Issue.1 , pp. 35-41
    • Lieb, E.H.1
  • 7
    • 12944295719 scopus 로고
    • Some inequalities satisfied by the quantities of information of Fisher and Shannon
    • MR21:7813
    • A. J. Stam. Some inequalities satisfied by the quantities of information of Fisher and Shannon. Info. Control, 2:101-112, 1959. MR21:7813
    • (1959) Info. Control , vol.2 , pp. 101-112
    • Stam, A.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.