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Volumn 9, Issue 5, 2000, Pages 465-479

Discrete Isoperimetric Inequalities and the Probability of a Decoding Error

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EID: 0442280188     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548300004466     Document Type: Article
Times cited : (26)

References (17)
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    • 0031497687 scopus 로고    scopus 로고
    • An isoperimetric inequality on the discrete cube, and an elementary proof of the isoperimetric inequality in Gauss space
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    • (1997) Ann. Probab. , vol.25 , pp. 206-214
    • Bobkov, S.1
  • 4
    • 0031285537 scopus 로고    scopus 로고
    • Influences of variables and threshold intervals under group symmetries
    • Bourgain, J. and Kalai, G. (1997) Influences of variables and threshold intervals under group symmetries. Geometric and Functional Analysis 7 438-461.
    • (1997) Geometric and Functional Analysis , vol.7 , pp. 438-461
    • Bourgain, J.1    Kalai, G.2
  • 6
    • 0001780655 scopus 로고
    • Coding for two noisy channels
    • Academic Press
    • Elias, P. (1956) Coding for two noisy channels. In Information Theory, Academic Press, pp. 61-74.
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    • Elias, P.1
  • 7
    • 0033458154 scopus 로고    scopus 로고
    • Sharp thresholds of graph properties, and the k-sat problem. Appendix of J. Bourgain
    • Friedgut, E. (1999) Sharp thresholds of graph properties, and the k-sat problem. Appendix of J. Bourgain, J. Amer. Math. Soc. 12 1017-1054.
    • (1999) J. Amer. Math. Soc. , vol.12 , pp. 1017-1054
    • Friedgut, E.1
  • 8
    • 13744252028 scopus 로고    scopus 로고
    • Every monotone graph property has a sharp threshold
    • Friedgut, E. and Kalai, G. (1996) Every monotone graph property has a sharp threshold. Proc. Amer. Math. Soc. 124 2993-3002.
    • (1996) Proc. Amer. Math. Soc. , vol.124 , pp. 2993-3002
    • Friedgut, E.1    Kalai, G.2
  • 9
    • 84939732350 scopus 로고
    • A simple derivation of the coding theorem and some applications
    • Gallager, R. G. (1965) A simple derivation of the coding theorem and some applications. IEEE Trans. Inform. Theory 11 3-18.
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    • Gallager, R.G.1
  • 12
    • 0002577888 scopus 로고
    • Probabilistic characteristics of graphs with large connectivity
    • Margulis, G. (1974) Probabilistic characteristics of graphs with large connectivity. Problemy Peredachi Informatsii 10 101-108.
    • (1974) Problemy Peredachi Informatsii , vol.10 , pp. 101-108
    • Margulis, G.1
  • 14
    • 0003025668 scopus 로고
    • Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem
    • Talagrand, M. (1993) Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem. Geometric and Functional Analysis 3 295-314.
    • (1993) Geometric and Functional Analysis , vol.3 , pp. 295-314
    • Talagrand, M.1
  • 15
    • 0031498560 scopus 로고    scopus 로고
    • On boundaries and influences
    • Talagrand, M. (1997) On boundaries and influences. Combinatorica 17 275-285.
    • (1997) Combinatorica , vol.17 , pp. 275-285
    • Talagrand, M.1
  • 16
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    • On Russo's approximate zero-one law
    • Talagrand, M. (1994) On Russo's approximate zero-one law. Ann. Probab. 22 1576-1587.
    • (1994) Ann. Probab. , vol.22 , pp. 1576-1587
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.