메뉴 건너뛰기




Volumn 23, Issue 1, 2007, Pages 235-258

Modified logarithmic Sobolev inequalities in null curvature

Author keywords

Concentration inequality; Log concave measure; Logarithmic sobolev inequality; Poincar inequality

Indexed keywords


EID: 34547140720     PISSN: 02132230     EISSN: 22350616     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (23)

References (13)
  • 2
    • 0002925263 scopus 로고
    • L'hypercontractivité et son utilisation en théorie des semigroupes
    • Lectures on probability theory. École d'été de probabilités de St-Flour 1992, Springer, Berlin
    • BAKRY, D.: L'hypercontractivité et son utilisation en théorie des semigroupes. In Lectures on probability theory. École d'été de probabilités de St-Flour 1992, 1-114. Lecture Notes in Mathematics 1581. Springer, Berlin, 1994.
    • (1994) Lecture Notes in Mathematics , vol.1581 , pp. 1-114
    • BAKRY, D.1
  • 3
    • 0001119849 scopus 로고
    • Diffusions hypercontractives
    • Séminaire de probabilités, XIX, 1983/84, Springer, Berlin
    • BAKRY, D. AND ÉMERY, M.: Diffusions hypercontractives. In Séminaire de probabilités, XIX, 1983/84, 177-206. Lecture Notes in Mathematics 1123. Springer, Berlin, 1985.
    • (1985) Lecture Notes in Mathematics , vol.1123 , pp. 177-206
    • BAKRY, D.1    ÉMERY, M.2
  • 4
    • 34147152743 scopus 로고    scopus 로고
    • Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry
    • BARTHE, F., CATTIAUX, P. AND ROBERTO, C.: Interpolated inequalities between exponential and Gaussian, Orlicz hypercontractivity and isoperimetry. Rev. Mat. Iberoamericana 22 (2006), no. 3, 993-1067.
    • (2006) Rev. Mat. Iberoamericana , vol.22 , Issue.3 , pp. 993-1067
    • BARTHE, F.1    CATTIAUX, P.2    ROBERTO, C.3
  • 5
    • 0348234223 scopus 로고    scopus 로고
    • Sobolev inequalities for probability measures on the real line
    • BARTHE, F. AND ROBERTO, C.: Sobolev inequalities for probability measures on the real line. Studia Math. 159 (2003), 481-497.
    • (2003) Studia Math , vol.159 , pp. 481-497
    • BARTHE, F.1    ROBERTO, C.2
  • 6
    • 0002829137 scopus 로고    scopus 로고
    • Exponential integrability and transportation cost related to logarithmic Sobolev inequalities
    • BOBKOV, S. G. AND GÖTZE, F.: Exponential integrability and transportation cost related to logarithmic Sobolev inequalities. J. Funct. Anal. 163 (1999), 1-28.
    • (1999) J. Funct. Anal , vol.163 , pp. 1-28
    • BOBKOV, S.G.1    GÖTZE, F.2
  • 7
    • 0031484536 scopus 로고    scopus 로고
    • Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution
    • BOBKOV, S. G. AND LEDOUX, M.: Poincaré's inequalities and Talagrand's concentration phenomenon for the exponential distribution. Probab. Theory Related Fields 107 (1997), 383-400.
    • (1997) Probab. Theory Related Fields , vol.107 , pp. 383-400
    • BOBKOV, S.G.1    LEDOUX, M.2
  • 8
    • 26444510189 scopus 로고    scopus 로고
    • Modified logarithmic Sobolev inequalities and transportation inequalities
    • GENTIL, L, GUILLIN, A. AND MICLO, L.: Modified logarithmic Sobolev inequalities and transportation inequalities. Probab. Theory Related Fields 133 (2005), no. 3, 409-436.
    • (2005) Probab. Theory Related Fields , vol.133 , Issue.3 , pp. 409-436
    • GENTIL, L.1    GUILLIN, A.2    MICLO, L.3
  • 9
    • 0001429116 scopus 로고
    • Logarithmic Sobolev inequalities
    • GROSS, L.: Logarithmic Sobolev inequalities. Amer. J. Math. 97 (1975), 1061-1083.
    • (1975) Amer. J. Math , vol.97 , pp. 1061-1083
    • GROSS, L.1
  • 10
    • 0000458262 scopus 로고    scopus 로고
    • Concentration of measure and logarithmic Sobolev inequalities
    • Séminaire de Probabilités XXXIII, Springer, Berlin
    • LEDOUX, M.: Concentration of measure and logarithmic Sobolev inequalities. In Séminaire de Probabilités XXXIII, 120-216. Lecture Notes in Mathematics 1709. Springer, Berlin, 1999.
    • (1999) Lecture Notes in Mathematics , vol.1709 , pp. 120-216
    • LEDOUX, M.1
  • 11
    • 0038609707 scopus 로고    scopus 로고
    • The concentration of measure phenomenon
    • American Mathematical Society, Providence, RI
    • LEDOUX, M.: The concentration of measure phenomenon. Mathematical Surveys and Monographs 89. American Mathematical Society, Providence, RI, 2001.
    • (2001) Mathematical Surveys and Monographs , vol.89
    • LEDOUX, M.1
  • 12
    • 0003016074 scopus 로고
    • Hardy's inequality with weights. Collection of articles honoring the completion by Antoni Zygmund of 50 years of scientific activity, I
    • MUCKENHOUPT, B.: Hardy's inequality with weights. Collection of articles honoring the completion by Antoni Zygmund of 50 years of scientific activity, I. Studia Math. 44 (1972), 31-38.
    • (1972) Studia Math , vol.44 , pp. 31-38
    • MUCKENHOUPT, B.1
  • 13
    • 51249165477 scopus 로고
    • Concentration of measure and isoperimetric inequalities in product spaces
    • TALAGRAND, M.: Concentration of measure and isoperimetric inequalities in product spaces. Inst. Hautes Études Sci. Publ. Math. 81 (1995), 73-205.
    • (1995) Inst. Hautes Études Sci. Publ. Math , vol.81 , pp. 73-205
    • TALAGRAND, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.