| 书目名称 | Superconcentration and Related Topics | | 编辑 | Sourav Chatterjee | | 视频video | | | 概述 | First book devoted to the topic of super concentration, chaos and multiple valleys.Presents a wide array of examples on the subject.Integrates new concepts and gives a systematic account of the histor | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | .A certain curious feature of random objects, introduced by the author as “super concentration,” and two related topics, “chaos” and “multiple valleys,” are highlighted in this book. Although super concentration has established itself as a recognized feature in a number of areas of probability theory in the last twenty years (under a variety of names), the author was the first to discover and explore its connections with chaos and multiple valleys. He achieves a substantial degree of simplification and clarity in the presentation of these findings by using the spectral approach..Understanding the fluctuations of random objects is one of the major goals of probability theory and a whole subfield of probability and analysis, called concentration of measure, is devoted to understanding these fluctuations. This subfield offers a range of tools for computing upper bounds on the orders of fluctuations of very complicated random variables. Usually, concentration of measure is useful when more direct problem-specific approaches fail; as a result, it has massively gained acceptance over the last forty years. And yet, there is a large class of problems in which classical concentration of mea | | 出版日期 | Book 2014 | | 关键词 | 60E15, 60K35, 60G15, 82B44, 60G60, 60G70; Gaussian field; chaos; concentration of measure; disordered sy | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-03886-5 | | isbn_softcover | 978-3-319-35228-2 | | isbn_ebook | 978-3-319-03886-5Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer International Publishing Switzerland 2014 |
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发表于 2025-3-21 19:33:54
