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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Bo‘az Klartag,Emanuel Milman Book 2014 Springer International Publishing Swi

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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Titlebook: Geometric Aspects of Functional Analysis; Israel Seminar (GAFA Bo‘az Klartag,Emanuel Milman Book 2014 Springer International Publishing Swi
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
doihttps://doi.org/10.1007/978-3-319-09477-9
isbn_softcover978-3-319-09476-2
isbn_ebook978-3-319-09477-9Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2014
The information of publication is updating

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Vascular Rings and Pulmonary Artery SlingsWe consider the linear Schrödinger equation on the three dimensional torus with a bounded spatially dependent potential and prove controllability. This extends the earlier work due to Burq, Zworski and the author in the two dimensional case.
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https://doi.org/10.1007/978-981-13-7864-5It is shown that for a subset . that has the global Gabrielov property, a Vitushkin-type estimate holds. Concrete examples are given for sub-level sets of certain classes of functions.
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https://doi.org/10.1007/978-94-009-9960-2A . estimate in the hyperplane problem with arbitrary measures has recently been proved in [.]. In this note we present analogs of this result for sections of lower dimensions and in the complex case. We deduce these inequalities from stability in comparison problems for different generalizations of intersection bodies.
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Alberto Guadagnini,Shlomo P. NeumanThe Paouris inequality gives the large deviation estimate for Euclidean norms of log-concave vectors. We present a modified version of it and show how the new inequality may be applied to derive tail estimates of ..-norms and suprema of norms of coordinate projections of isotropic log-concave vectors.
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Gaussian Free Field on Hyperbolic Lattices,It is shown that the maximum of the height of the Gaussian free field in a ball of a two dimensional hyperbolic lattice, grows linearly with the radius, while only as a square root of the radius on higher dimensional hyperbolic lattices.
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