| 书目名称 | Large Deviations for Random Graphs | | 副标题 | École d‘Été de Proba | | 编辑 | Sourav Chatterjee | | 视频video | | | 概述 | First book-length treatment of large deviations for random graphs, plus a chapter on exponential random graphs.Contains a summary of important results from graph limit theory with complete proofs.Writ | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | .This book addresses the emerging body of literature on the study of rare events in random graphs and networks. For example, what does a random graph look like if by chance it has far more triangles than expected? Until recently, probability theory offered no tools to help answer such questions. Important advances have been made in the last few years, employing tools from the newly developed theory of graph limits. This work represents the first book-length treatment of this area, while also exploring the related area of exponential random graphs. All required results from analysis, combinatorics, graph theory and classical large deviations theory are developed from scratch, making the text self-contained and doing away with the need to look up external references. Further, the book is written in a format and style that are accessible for beginning graduate students in mathematics and statistics.. | | 出版日期 | Book 2017 | | 关键词 | Random graph; Large deviations; Erdos-Renyi graph; Exponential random graph; Graph limit theory; Graphon; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-319-65816-2 | | isbn_softcover | 978-3-319-65815-5 | | isbn_ebook | 978-3-319-65816-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer International Publishing AG 2017 |
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发表于 2025-3-21 18:49:38
