EAN: 9783319094762

GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS KARTON...

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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