Includes bibliographical references.

COH formula and Dirichlet Laplacians on small domains of pinned path spaces ; Maximal characterization of HardySobolev spaces on manifolds ; On Milman's ellipsoids and osition of convex bodies ; Fractional generalizations of Young and BrunnMinkowski inequalities ; Approximately Gaussian marginals and the hyperplane conjecture ; One more proof of the ErdosTuran inequality, and an error estimate in Wigner's law ; Quantitative isoperimetric inequalities with applications to the stability of liquid drops and crystals ; Spherical reflection positivity and the HardyLittlewoodSobolev inequality ; On the existence of subgaussian directions for logconcave measures ; On isoperimetric sets of radially symmetric measures ; From concentration to isoperimetry: Semigroup proofs ; Sobolev inequalities, rearrangements, isoperimetry and interpolation spaces ; Isoperimetric bounds on convex manifolds ; The logconvex density conjecture Shigeki Aida ; N Badr and G Dafni ; Sergey G Bobkov ; Sergey Bobkov Mokshay Madiman and Liyao Wang ; Ronen Eldan and Bo'az Klartag ; Ohad N Feldheim and Sasha Sodin ; A Figalli ; Rupert L Frank and Elliott H Lieb ; A Giannopoulos G Paouris and P Valettas ; Alexander V Kolesnikov and Roman I Zhdanov ; Michel Ledoux ; Joaquim Martin and Mario Milman ; Emanuel Milman ; Frank Morgan