02749cam a2200349 i 4500991002945689707536160714s2014 sz a o 100 0 eng d9783319094762b14258316-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng515.723AMS 46-06 AMS 52-06AMS 60-06LC QA319Geometric aspects of functional analysis:Israel Seminar (GAFA) 2011-2013 /Bo'az Klartag, Emanuel Milman, editorsCham [Switzerland] :Springer,c2014ix, 463 p. :ill. ;24 cmLecture notes in mathematics,0075-8434 ;2116As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis. Most of the papers deal with different aspects of Asymptotic Geometric Analysis, understood in a broad sense; many continue the study of geometric and volumetric properties of convex bodies and log-concave measures in high-dimensions and in particular the mean-norm, mean-width, metric entropy, spectral-gap, thin-shell and slicing parameters, with applications to Dvoretzky and Central-Limit-type results. The study of spectral properties of various systems, matrices, operators and potentials is another central theme in this volume. As expected, probabilistic tools play a significant role and probabilistic questions regarding Gaussian noise stability, the Gaussian Free Field and First Passage Percolation are also addressed. The historical connection to the field of Classical Convexity is also well represented with new properties and applications of mixed-volumes. The interplay between the real convex and complex pluri-subharmonic settings continues to manifest itself in several additional articles. All contributions are original research papers and were subject to the usual refereeing standardsFunctional analysisCongressesFunctional differential equationsAsymptotic theoryCongressesKlartag, Bo'azauthorhttp://id.loc.gov/vocabulary/relators/aut477682Milman, Emanuelauthorhttp://id.loc.gov/vocabulary/relators/aut739651Israel Seminar on Geometrical Aspects of Functional Analysis<2011-2013>Printed edition:9783319094762.b1425831617-11-1614-07-16991002945689707536LE013 46-XX KLA12 (2014)12013000293554le013pE46.75-l- 01010.i1578746117-11-16Geometric aspects of functional analysis1465254UNISALENTOle01314-07-16ma -engsz 00