The concentration of measure phenomenon
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[1] G. M.,et al. Partial Differential Equations I , 2023, Applied Mathematical Sciences.
[2] E. Schmidt. Die Brunn-Minkowskische Ungleichung und ihr Spiegelbild sowie die isoperimetrische Eigenschaft der Kugel in der euklidischen und nichteuklidischen Geometrie. I , 1948 .
[3] W. Hoeffding. Probability Inequalities for sums of Bounded Random Variables , 1963 .
[4] L. H. Harper. Optimal numberings and isoperimetric problems on graphs , 1966 .
[5] V. V. Jurinskii. Exponential Bounds for Large Deviations , 1974 .
[6] V. V. Yurinskii. Exponential inequalities for sums of random vectors , 1976 .
[7] I. Ibragimov,et al. Norms of Gaussian sample functions , 1976 .
[8] Da-Lun Wang,et al. Extremal Configurations on a Discrete Torus and a Generalization of the Generalized Macaulay Theorem , 1977 .
[9] V. Sudakov,et al. Extremal properties of half-spaces for spherically invariant measures , 1978 .
[10] J. Kuelbs. Probability on Banach spaces , 1978 .
[11] B. Simon. Trace ideals and their applications , 1979 .
[12] Zoltán Füredi,et al. A short proof for a theorem of Harper about Hamming-spheres , 1981, Discret. Math..
[13] O. Rothaus. Diffusion on compact Riemannian manifolds and logarithmic Sobolev inequalities , 1981 .
[14] G. Kallianpur. Stochastic differential equations and diffusion processes , 1981 .
[15] M. Gromov,et al. A topological application of the isoperimetric inequality , 1983 .
[16] Gilles Pisier,et al. On the dimension of the ⁿ_{}-subspaces of Banach spaces, for 1≤<2 , 1983 .
[17] Andrzej Korzeniowski,et al. An example in the theory of hypercontractive semigroups , 1985 .
[18] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[19] S. Rachev. The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications , 1985 .
[20] M. Pratelli,et al. Probability and Analysis , 1986 .
[21] V. Milman,et al. Asymptotic Theory Of Finite Dimensional Normed Spaces , 1986 .
[22] V. Milman. Diameter of a minimal invariant subset of equivariant lipschitz actions on compact subsets of ℝ k , 1987 .
[23] M. Gromov,et al. Generalization of the spherical isoperimetric inequality to uniformly convex Banach spaces , 1987 .
[24] M. Talagrand. An isoperimetric theorem on the cube and the Kintchine-Kahane inequalities , 1988 .
[25] Terry Lyons,et al. A crossing estimate for the canonical process on a Dirichlet space and tightness result , 1988 .
[26] M. Talagrand. Isoperimetry and Integrability of the Sum of Independent Banach-Space Valued Random Variables , 1989 .
[27] Colin McDiarmid,et al. Surveys in Combinatorics, 1989: On the method of bounded differences , 1989 .
[28] 竹田 雅好. On a martingale method for symmetric diffusion processes and its applications , 1989 .
[29] G. Schechtman. A remark concerning the dependence on ɛ in dvoretzky's theorem , 1989 .
[30] G. Pisier. The volume of convex bodies and Banach space geometry , 1989 .
[31] M. Yor,et al. Continuous martingales and Brownian motion , 1990 .
[32] Gideon Schechtman,et al. On the volume of the intersection of two $L\sp n\sb p$ balls , 1990 .
[33] M. Talagrand. A new isoperimetric inequality and the concentration of measure phenomenon , 1991 .
[34] Michel Talagrand. A new isoperimetric inequality for product measure and the tails of sums of independent random variables , 1991 .
[35] Stanisław Kwapień,et al. Hypercontraction Methods in Moment Inequalities for Series of Independent Random Variables in Normed Spaces , 1991 .
[36] G. Schechtman,et al. Remarks on Talagrand’s deviation inequality for Rademacher functions , 1990, math/9201208.
[37] Jim Freeman. Probability Metrics and the Stability of Stochastic Models , 1991 .
[38] M. Talagrand,et al. Probability in Banach Spaces: Isoperimetry and Processes , 1991 .
[39] Vitali Milman,et al. Dvoretzky's theorem — Thirty years later , 1992 .
[40] M. Ledoux,et al. A heat semigroup approach to concentration on the sphere and on a compact Riemannian manifold , 1992 .
[41] S. Kwapień,et al. Random Series and Stochastic Integrals: Single and Multiple , 1992 .
[42] Miklós Simonovits,et al. Random Walks in a Convex Body and an Improved Volume Algorithm , 1993, Random Struct. Algorithms.
[43] H. Kesten. On the Speed of Convergence in First-Passage Percolation , 1993 .
[44] M. Talagrand. THE SUPREMUM OF SOME CANONICAL PROCESSES , 1994 .
[45] M. Talagrand. Concentration of measure and isoperimetric inequalities in product spaces , 1994, math/9406212.
[46] M. Talagrand. Sharper Bounds for Gaussian and Empirical Processes , 1994 .
[47] M. Schmuckenschläger. A Concentration of Measure Phenomenon on Uniformly Convex Bodies , 1995 .
[48] D. Nualart. The Malliavin Calculus and Related Topics , 1995 .
[49] Michel Ledoux. Remarks on logarithmic Sobolev constants, exponential integrability and bounds on the diameter , 1995 .
[50] Miklós Simonovits,et al. Isoperimetric problems for convex bodies and a localization lemma , 1995, Discret. Comput. Geom..
[51] G. Schechtman,et al. A CONCENTRATION INEQUALITY FOR HARMONIC MEASURES ON THE SPHERE , 1995 .
[52] D. Stroock,et al. Probability Theory: An Analytic View. , 1995 .
[53] Jon A. Wellner,et al. Weak Convergence and Empirical Processes: With Applications to Statistics , 1996 .
[54] M. Talagrand. New concentration inequalities in product spaces , 1996 .
[55] K. Marton. A measure concentration inequality for contracting markov chains , 1996 .
[56] M. Talagrand. Transportation cost for Gaussian and other product measures , 1996 .
[57] K. Marton. Bounding $\bar{d}$-distance by informational divergence: a method to prove measure concentration , 1996 .
[58] M. Talagrand. Majorizing measures: the generic chaining , 1996 .
[59] M. Ledoux,et al. Isoperimetry and Gaussian analysis , 1996 .
[60] M. Talagrand. A new look at independence , 1996 .
[61] Krzysztof Oleszkiewicz,et al. Comparison of Moments of Sums of Independent Random Variables and Differential Inequalities , 1996 .
[62] M. Ledoux. On Talagrand's deviation inequalities for product measures , 1997 .
[63] L. Saloff-Coste,et al. Lectures on finite Markov chains , 1997 .
[64] M. Schmuckenschläger. Martingales, Poincaré Type Inequalities, and Deviation Inequalities , 1998 .
[65] M. Schmuckenschläger. Curvature of Nonlocal Markov Generators , 1998 .
[66] M. Ledoux. The geometry of Markov diffusion generators , 1998 .
[67] O. Rothaus. Logarithmic Sobolev inequalities and the growth of $L^p$ norms , 1998 .
[68] Michel Talagrand,et al. The Sherrington–Kirkpatrick model: a challenge for mathematicians , 1998 .
[69] K. Marton. Measure concentration for a class of random processes , 1998 .
[70] C. Houdré,et al. Interpolation, correlation identities, and inequalities for infinitely divisible variables , 1998 .
[71] Elton P. Hsu. Analysis on path and loop spaces , 1999 .
[72] N. Yoshida. The log-Sobolev inequality for weakly coupled lattice fields , 1999 .
[73] M. Ledoux. Concentration of measure and logarithmic Sobolev inequalities , 1999 .
[74] M. Gromov. Metric Structures for Riemannian and Non-Riemannian Spaces , 1999 .
[75] V. Pestov. Amenable representations and dynamics of the unit sphere in an infinite-dimensional Hilbert space , 1999, math/9903085.
[76] Olivier Guédon. Kahane-Khinchine type inequalities for negative exponent , 1999 .
[77] A. Soshnikov. Universality at the Edge of the Spectrum¶in Wigner Random Matrices , 1999, math-ph/9907013.
[78] G. Royer,et al. Une initiation aux inégalités de Sobolev logarithmiques , 1999 .
[79] E. Rio. Inégalités de Hoeffding pour les fonctions lipschitziennes de suites dépendantes , 2000 .
[80] LpWilliam B. Johnson,et al. Finite dimensional subspaces of , 2000 .
[81] Liming Wu,et al. A new modified logarithmic Sobolev inequality for Poisson point processes and several applications , 2000 .
[82] C. Villani,et al. Generalization of an Inequality by Talagrand and Links with the Logarithmic Sobolev Inequality , 2000 .
[83] P. Massart. Some applications of concentration inequalities to statistics , 2000 .
[84] V. Milman,et al. Concentration Property on Probability Spaces , 2000 .
[85] A. Guionnet,et al. CONCENTRATION OF THE SPECTRAL MEASURE FOR LARGE MATRICES , 2000 .
[86] Vladimir Pestov,et al. Ramsey-Milman phenomenon, Urysohn metric spaces, and extremely amenable groups , 2000, math/0004010.
[87] G. Schechtman. An editorial comment on the preceding paper , 2000 .
[88] V. Milman,et al. Chapter 17 - Euclidean Structure in Finite Dimensional Normed Spaces , 2001 .
[89] Michel Ledoux,et al. Logarithmic Sobolev Inequalities for Unbounded Spin Systems Revisited , 2001 .
[90] Prasad Tetali,et al. Concentration of Measure for Products of Markov Kernels and Graph Products via Functional Inequalities , 2001, Combinatorics, Probability and Computing.
[91] J. Lindenstrauss,et al. Handbook of geometry of Banach spaces , 2001 .
[92] E. Rio,et al. Inégalités de concentration pour les processus empiriques de classes de parties , 2001 .
[93] Colin McDiarmid. Concentration For Independent Permutations , 2002, Comb. Probab. Comput..
[94] E. Rio. Une inégalité de Bennett pour les maxima de processus empiriques , 2002 .
[95] V. Paulauskas. Some Comments on Deviation Inequalities for Infinitely Divisible Random Vectors , 2002 .
[96] C. Houdré. Remarks on deviation inequalities for functions of infinitely divisible random vectors , 2002 .
[97] Alice Guionnet,et al. Lectures on Logarithmic Sobolev Inequalities , 2003 .