书目名称 | Geometric Aspects of Functional Analysis | 副标题 | Israel Seminar (GAFA | 编辑 | Bo‘az Klartag,Emanuel Milman | 视频video | | 概述 | Includes supplementary material: | 丛书名称 | Lecture Notes in Mathematics | 图书封面 |  | 描述 | 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 wer | 出版日期 | Book 2014 | 关键词 | 80M35,26A51,32-XX,46-XX,60-XX; Asymptotic Geometric Analysis; Convex Geometry; Functional Analysis; Geom | 版次 | 1 | doi | https://doi.org/10.1007/978-3-319-09477-9 | isbn_softcover | 978-3-319-09476-2 | isbn_ebook | 978-3-319-09477-9Series ISSN 0075-8434 Series E-ISSN 1617-9692 | issn_series | 0075-8434 | copyright | Springer International Publishing Switzerland 2014 |
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