Probability and Convexity

• Hypercontractivity and comparison of moments of iterated maxima and minima of independent random variables (with P. Hitczenko, S. Kwapien, W. Li, Th. Schlumprecht and J. Zinn), Electronic J. of Prob. 3 (1998), paper no. 2, 1--26.
• On the Gaussian measure of the intersection of symmetric, convex sets (with Th. Schlumprecht and J. Zinn), Ann. Prob. 26 (1998), 346--357.
• Concentration, results and applications, in preparation for handbook, preliminary version available.
• Upper bounds on the height difference of the Gaussian random field and the range of random graph homomorphism into Z (with I. Benjamini), Random Structures \& Algorithms 17 (2000), 20--25.
• Concentration on the $\ell_p^n$ ball (with J. Zinn), GAFA Seminar 1996-2000, Lecture Notes in Math., Vol. 1745, pp. 245--256, Springer (2000).
• An editorial comment on the preceding paper, GAFA Seminar 1996-2000, Lecture Notes in Math., Vol. 1745, pp. 19--20, Springer (2000).
• Special orthogonal splittings of $L_1^{2k}$, Israel J. Math. 139 (2004).
• The Shattering dimension of sets of linear functionals (with S. Mendelson), Ann. Prob., 32 (2004), 1746--1770.

• Extremal configurations for moments of sums of independent positive random variables, Banach Spaces and their Applications in Analysis, de Gruyter (2007).
• Approximate Gaussian isoperimetry for $k$ sets, to appear.