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Volumn 13, Issue , 2008, Pages 60-66

A simple proof of the poincaré inequality for a large class of probability measures including the log-concave case

Author keywords

26D10; 47D07; 60G10; 60J60

Indexed keywords


EID: 39049091842     PISSN: None     EISSN: 1083589X     Source Type: Journal    
DOI: 10.1214/ECP.v13-1352     Document Type: Article
Times cited : (229)

References (8)
  • 2
    • 37249083912 scopus 로고    scopus 로고
    • Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincare
    • D. Bakry, P. Cattiaux, and A. Guillin. Rate of convergence for ergodic continuous Markov processes: Lyapunov versus Poincare. J. Func. Anal., 254:727-759, 2008.
    • (2008) J. Func. Anal. , vol.254 , pp. 727-759
    • Bakry, D.1    Cattiaux, P.2    Guillin, A.3
  • 3
    • 0033233673 scopus 로고    scopus 로고
    • Isoperimetric and analytic inequalities for log-concave probability measures
    • S. G. Bobkov. Isoperimetric and analytic inequalities for log-concave probability measures. Ann. Prob., 27(4):1903-1921, 1999.
    • (1999) Ann. Prob. , vol.27 , Issue.4 , pp. 1903-1921
    • Bobkov, S.G.1
  • 4
    • 31644434253 scopus 로고    scopus 로고
    • Hypercontractivity for perturbed diffusion semi-groups
    • P. Cattiaux. Hypercontractivity for perturbed diffusion semi-groups. Ann. Fac. des Sc. de Toulouse, 14(4):609-628, 2005.
    • (2005) Ann. Fac. Des Sc. De Toulouse , vol.14 , Issue.4 , pp. 609-628
    • Cattiaux, P.1
  • 5
    • 85037915414 scopus 로고    scopus 로고
    • Lyapunov conditions for logarithmic Sobolev and super Poincare inequality
    • P. Cattiaux, A. Guillin, F. Y. Wang, and L. Wu. Lyapunov conditions for logarithmic Sobolev and super Poincare inequality. Available on Math. ArXiv 0712.0235., 2007.
    • Math.
    • Cattiaux, P.1    Guillin, A.2    Wang, F.Y.3    Wu, L.4
  • 7
    • 33847262664 scopus 로고    scopus 로고
    • Spectral gap, logarithmic Sobolev constant, and geometric bounds
    • Int. Press, Somerville MA
    • M. Ledoux. Spectral gap, logarithmic Sobolev constant, and geometric bounds. In Surveys in differential geometry., volume IX, pages 219-240. Int. Press, Somerville MA, 2004.
    • (2004) Surveys in Differential Geometry. , vol.9 , pp. 219-240
    • Ledoux, M.1
  • 8
    • 0000038655 scopus 로고    scopus 로고
    • Uniformly integrable operators and large deviations for Markov processes
    • L. Wu. Uniformly integrable operators and large deviations for Markov processes. J. Funct. Anal., 172(2):301-376, 2000.
    • (2000) J. Funct. Anal. , vol.172 , Issue.2 , pp. 301-376
    • Wu, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.