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Volumn 24, Issue 2, 1996, Pages 857-866

Bounding d̄-distance by informational divergence: A method to prove measure concentration

Author keywords

d distance; Informational divergence; Isoperimetric inequality; Markov chains; Measure concentration

Indexed keywords


EID: 0030514042     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1039639365     Document Type: Article
Times cited : (232)

References (10)
  • 1
    • 0000911221 scopus 로고
    • Bounds on conditional probabilities with applications in multi-user communication
    • AHLSWEDE, R., GÁCS, P. and KÖRNER, J. (1976). Bounds on conditional probabilities with applications in multi-user communication. Z. Wahrsch. Verw. Gebiete 34 157-177.
    • (1976) Z. Wahrsch. Verw. Gebiete , vol.34 , pp. 157-177
    • Ahlswede, R.1    Gács, P.2    Körner, J.3
  • 3
    • 0022720166 scopus 로고
    • A simple proof of the blowing-up lemma
    • MARTON, K. (1986). A simple proof of the blowing-up lemma. IEEE Trans. Inform. Theory IT-32 445-446.
    • (1986) IEEE Trans. Inform. Theory , vol.IT-32 , pp. 445-446
    • Marton, K.1
  • 4
    • 0039369194 scopus 로고
    • A concentration-of-measure inequality for contracting Markov chains
    • To appear
    • MARTON, K. (1995a). A concentration-of-measure inequality for contracting Markov chains. Geometric and Functional Analysis. To appear.
    • (1995) Geometric and Functional Analysis
    • Marton, K.1
  • 6
    • 51249169814 scopus 로고
    • The positive divergence and blowing-up properties
    • MARTON, K. and SHIELDS, P. C. (1994). The positive divergence and blowing-up properties. Israeli J. Math. 86 331-348.
    • (1994) Israeli J. Math. , vol.86 , pp. 331-348
    • Marton, K.1    Shields, P.C.2
  • 8
    • 0028386954 scopus 로고
    • Error exponent for distributed detection of Markov sources
    • PAPAMARCOU, A. and SHALABY, H. (1993). Error exponent for distributed detection of Markov sources. IEEE Trans. Inform. Theory 40 397-408.
    • (1993) IEEE Trans. Inform. Theory , vol.40 , pp. 397-408
    • Papamarcou, A.1    Shalaby, H.2
  • 10
    • 51249165477 scopus 로고
    • Concentration of measure and isoperimetric inequalities in product spaces
    • TALAGRAND, M. (1995). Concentration of measure and isoperimetric inequalities in product spaces. Publ. IHES. 81 73-205.
    • (1995) Publ. IHES. , vol.81 , pp. 73-205
    • Talagrand, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.