Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2014–2016 As in the previous Seminar Notes the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis understood in a broad sense. A classical theme in the Local Theory of Banach Spaces which is well represented in this volume is the identification of lower dimensional structures in high dimensional objects. More recent applications of high dimensionality are manifested by contributions in Random Matrix Theory Concentration of Measure and Empirical Processes. Naturally the Gaussian measure plays a central role in many of these topics and is also studied in this volume; in particular the recent breakthrough proof of the Gaussian Correlation Conjecture is revisited. The interplay of the theory with Harmonic and Spectral Analysis is also well apparent in several contributions. The classical relation to both the primal and dual Brunn Minkowski theories is also well represented and related algebraic structures pertaining to valuations and valent functions are discussed. All contributions are original research papers and were subject to the usual refereeing standards Alesker S.: On repeated sequential closures of constructible functions in valuations Ben Efraim L. Milman V. Segal A.: Orbit point of view on some results of asymp totic theory; Orbit type and cotype Bobkov S. G. Nayar P. Tetali P.: Concentration Properties of Restricted Measures with Applications to Non Lipschitz Functions Bourgain J.:On random walks in large compact Lie groups Bourgain J.: On a problem of Farrell and Vershynin in random matrix theory. Colesanti A. Lombardi N.: Valutations on the space of quasi concave functions Dafnis N. Paouris G.: An inequality for moments of log concave functions on Gaus sian random vectors Friedland O. Yomdin Y.:(s; p) valent functions Gluskin E. D. Ostrover Y.: A remark on projections of the rotated cube to complex lines Guedon O. Hinrichs A. Litvak A. E. Prochno J.: On the expectation of operatornorms of random matrices Haviv I. Regev O.: The Restricted Isometry Property of Subsampled Fourier Ma trices Huang H. Wei F.: Upper bound for the Dvoretzky dimension in Milman Schechtman theorem Klartag B.: Super Gaussian directions of random vectors Koldobsky A. Pajor A.: A remark on measures of sections of Lp balls Kolesnikov A. V. Milman E.: Sharp Poincare type inequality for the Gaussian mea sure on the boundary of convex sets Konig H. Milman V.: Rigidity of the chain rule and nearly submultiplicative functions Lata la R. Matlak D.: Royens proof of the Gaussian correlation inequality Liaw C. Mehrabian A. Plan Y. Vershynin R.: A simple tool for bounding the deviation of random matrices on geometric sets Mendelson S.: On multiplier processes under weak moment assumptions Milman V. Rotem L.: Characterizing the radial sum for star bodies Oleskiewicz K.: On mimicking Rademacher sums in tail spaces Rossi A. Salani P.: Stability for Borell Brascamp Lieb inequalities.pan>