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Geometric Aspects of Functional Analysis - Israel Seminar (GAFA) 2011-2013 (Paperback, 2014 ed.)
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Geometric Aspects of Functional Analysis - Israel Seminar (GAFA) 2011-2013 (Paperback, 2014 ed.)
Series: Lecture Notes in Mathematics, 2116
Expected to ship within 10 - 15 working days
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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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