Silouanos Brazitikos, University of Athens, Greece.Apostolos Giannopoulos, University of Athens, Greece.Petros Valettas, Texas A & M University, College Station, TX.Beatrice-Helen Vritsiou, University of Athens, Greece.

• Background from asymptotic convex geometryIsotropic log-concave measuresHyperplane conjecture and Bourgain's upper boundPartial answersL q -centroid bodies and concentration of massBodies with maximal isotropic constantLogarithmic Laplace transform and the isomorphic slicing problemTail estimates for linear functionalsM and M? *-estimatesApproximating the covariance matrixRandom polytopes in isotropic convex bodiesCentral limit problem and the thin shell conjectureThe thin shell estimateKannan-Lovász-Simonovits conjectureInfimum convolution inequalities and concentrationInformation theory and the hyperplane conjectureBibliographySubject indexAuthor index

Silouanos Brazitikos, University of Athens, Greece.Apostolos Giannopoulos, University of Athens, Greece.Petros Valettas, Texas A & M University, College Station, TX.Beatrice-Helen Vritsiou, University of Athens, Greece.

• Background from asymptotic convex geometryIsotropic log-concave measuresHyperplane conjecture and Bourgain's upper boundPartial answersL q -centroid bodies and concentration of massBodies with maximal isotropic constantLogarithmic Laplace transform and the isomorphic slicing problemTail estimates for linear functionalsM and M? *-estimatesApproximating the covariance matrixRandom polytopes in isotropic convex bodiesCentral limit problem and the thin shell conjectureThe thin shell estimateKannan-Lovász-Simonovits conjectureInfimum convolution inequalities and concentrationInformation theory and the hyperplane conjectureBibliographySubject indexAuthor index