Geometric Aspects of Functional Analysis

Description

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.

Subjects

Series Statement

• Lecture Notes in Mathematics -- 2050

Links

• http://dx.doi.org/10.1007/978-3-642-29849-3

Other Editions

• Geometric Aspects of Functional Analysis: Israel Seminar 2006–2010Electronic resourceSpringer Berlin Heidelberg2012-01-01
• Geometric Aspects of Functional AnalysisPaperbackSpringer2012-07-25
• Geometric Aspects of Functional AnalysisSpringer International Publishing AG2014-01-01
• Geometric Aspects of Functional AnalysisSpringer London, Limited2014-01-01
• Geometric Aspects of Functional AnalysisSpringer London, Limited2017-01-01
• Geometric Aspects of Functional AnalysisSpringer International Publishing AG2017-01-01