| 书目名称 | Geometric Aspects of Functional Analysis |
| 副标题 | Israel Seminar (GAFA |
| 编辑 | Ronen Eldan,Bo‘az Klartag,Emanuel Milman |
| 视频video | |
| 概述 | Features an interdisciplinary mix of harmonic analysis, computational geometry, optimization & learning algorithms.Includes a unique combination of papers on convex geometry and high-dimensional analy |
| 丛书名称 | Lecture Notes in Mathematics |
| 图书封面 |  |
| 描述 | This book reflects general trends in the study of geometric aspects of functional analysis, understood in a broad sense. A classical theme in the local theory of Banach spaces is the study of probability measures in high dimension and the concentration of measure phenomenon. Here this phenomenon is approached from different angles, including through analysis on the Hamming cube, and via quantitative estimates in the Central Limit Theorem under thin-shell and related assumptions. Classical convexity theory plays a central role in this volume, as well as the study of geometric inequalities. These inequalities, which are somewhat in spirit of the Brunn-Minkowski inequality, in turn shed light on convexity and on the geometry of Euclidean space. Probability measures with convexity or curvature properties, such as log-concave distributions, occupy an equally central role and arise in the study of Gaussian measures and non-trivial properties of the heat flow in Euclidean spaces. Also discussed are interactions of this circle of ideas with linear programming and sampling algorithms, including the solution of a question in online learning algorithms using a classical convexity construction |
| 出版日期 | Book 2023 |
| 关键词 | Geometric Probability; Functional Inequalities; Asymptotic Geometric Analysis; Convex Geometry; Computat |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-031-26300-2 |
| isbn_softcover | 978-3-031-26299-9 |
| isbn_ebook | 978-3-031-26300-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
| issn_series | 0075-8434 |
| copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
发表于 2025-3-21 16:07:36
