| 书目名称 | Mod-ϕ Convergence |
| 副标题 | Normality Zones and |
| 编辑 | Valentin Féray,Pierre-Loïc Méliot,Ashkan Nikeghbal |
| 视频video | |
| 概述 | First of its kind publication detailing the mod-? convergence method.Written by leading experts in probability theory.Provides a large number of new results.Includes new examples coming from various a |
| 丛书名称 | SpringerBriefs in Probability and Mathematical Statistics |
| 图书封面 |  |
| 描述 | The canonical way to establish the central limit theorem for i.i.d. random variables is to use characteristic functions and Lévy’s continuity theorem. This monograph focuses on this characteristic function approach and presents a renormalization theory called mod-ϕ convergence. This type of convergence is a relatively new concept with many deep ramifications, and has not previously been published in a single accessible volume. The authors construct an extremely flexible framework using this concept in order to study limit theorems and large deviations for a number of probabilistic models related to classical probability, combinatorics, non-commutative random variables, as well as geometric and number-theoretical objects. .Intended for researchers in probability theory, the text is carefully well-written and well-structured, containing a great amount of detail and interesting examples. . |
| 出版日期 | Book 2016 |
| 关键词 | Probability Theory; Number Theory; Combinatorics; Matrix Theory; Deviations |
| 版次 | 1 |
| doi | https://doi.org/10.1007/978-3-319-46822-8 |
| isbn_softcover | 978-3-319-46821-1 |
| isbn_ebook | 978-3-319-46822-8Series ISSN 2365-4333 Series E-ISSN 2365-4341 |
| issn_series | 2365-4333 |
| copyright | The Author(s) 2016 |
发表于 2025-3-21 18:45:30
