Geometric Aspects of Functional Analysis (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Serie
Lecture Notes in Mathematics (del 2116)
Antal sidor
463
Utgivningsdatum
2014-10-24
Förlag
Springer International Publishing AG
Dimensioner
234 x 156 x 24 mm
Vikt
663 g
ISBN
9783319094762

Geometric Aspects of Functional Analysis

Israel Seminar (GAFA) 2011-2013

av Bo'Az Klartag, Emanuel Milman
Häftad,  Engelska, 2014-10-24
530
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As 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 standards.
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