On weighted isoperimetric and Poincaré-type inequalities
暂无分享,去创建一个
[1] S. Bobkov,et al. Weighted poincaré-type inequalities for cauchy and other convex measures , 2009, 0906.1651.
[2] S. Bobkov,et al. Sharp dilation-type inequalities with a fixed parameter of convexity , 2008 .
[3] Patrick Cattiaux,et al. Functional Inequalities for Heavy Tailed Distributions and Application to Isoperimetry , 2022 .
[4] M. Fradelizi. Concentration inequalities for $s$-concave measures of dilations of Borel sets and applications , 2008, 0807.0080.
[5] S. Bobkov. Large deviations and isoperimetry over convex probability measures with heavy tails , 2007 .
[6] Adrien Blanchet,et al. Asymptotics of the Fast Diffusion Equation via Entropy Estimates , 2007, 0704.2372.
[7] J. Dolbeault,et al. Hardy-Poincaré inequalities and applications to nonlinear diffusions , 2007 .
[8] A generalized localization theorem and geometric inequalities for convex bodies , 2006 .
[9] P. Cattiaux,et al. Weak logarithmic Sobolev inequalities and entropic convergence , 2005, math/0511255.
[10] P. Cattiaux,et al. Concentration for independent random variables with heavy tails , 2005, math/0505492.
[11] Robert J. McCann,et al. Fast Diffusion to Self-Similarity: Complete Spectrum, Long-Time Asymptotics, and Numerology , 2005 .
[12] Matthieu Fradelizi,et al. The Extreme Points of Subsets of s-Concave Probabilities and a Geometric Localization Theorem , 2004, Discret. Comput. Geom..
[13] M. Ledoux. Spectral gap, logarithmic Sobolev constant, and geometric bounds , 2004 .
[14] M. Röckner,et al. Weak Poincaré Inequalities and L2-Convergence Rates of Markov Semigroups , 2001 .
[15] M. Ledoux. The concentration of measure phenomenon , 2001 .
[16] Olivier Guédon. Kahane-Khinchine type inequalities for negative exponent , 1999 .
[17] B. Zegarliński,et al. Coercive Inequalities for Gibbs Measures , 1999 .
[18] M. Ledoux. Concentration of measure and logarithmic Sobolev inequalities , 1999 .
[19] S. Bobkov. Isoperimetric and Analytic Inequalities for Log-Concave Probability Measures , 1999 .
[20] Christian Houdré,et al. Some Connections Between Isoperimetric and Sobolev-Type Inequalities , 1997 .
[21] C. Houdré,et al. Isoperimetric constants for product probability measures , 1997 .
[22] Miklós Simonovits,et al. Isoperimetric problems for convex bodies and a localization lemma , 1995, Discret. Comput. Geom..
[23] M. Ledoux. A simple analytic proof of an inequality by P. Buser , 1994 .
[24] Daniel W. Stroock,et al. Moment estimates derived from Poincar'e and log-arithmic Sobolev inequalities , 1994 .
[25] Miklós Simonovits,et al. Random Walks in a Convex Body and an Improved Volume Algorithm , 1993, Random Struct. Algorithms.
[26] K. Ball. Logarithmically concave functions and sections of convex sets in $R^{n}$ , 1988 .
[27] O. Rothaus. Analytic inequalities, isoperimetric inequalities and logarithmic Sobolev inequalities , 1985 .
[28] M. Gromov,et al. A topological application of the isoperimetric inequality , 1983 .
[29] D. Hensley. Slicing convex bodies—bounds for slice area in terms of the body’s covariance , 1980 .
[30] E. Lieb,et al. On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation , 1976 .
[31] C. Borell. Convex set functions ind-space , 1975 .
[32] C. Borell. Convex measures on locally convex spaces , 1974 .
[33] A. Prékopa. On logarithmic concave measures and functions , 1973 .
[34] L. Leindler. On a Certain Converse of Hölder’s Inequality , 1972 .
[35] B. Muckenhoupt. Hardy's inequality with weights , 1972 .
[36] A. Prékopa. Logarithmic concave measures with applications to stochastic programming , 1971 .
[37] J. Cheeger. A lower bound for the smallest eigenvalue of the Laplacian , 1969 .