<電子ブック>
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures

責任表示
著者
本文言語
出版者
出版年
出版地
関連情報
概要 Focusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovász-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the t...heory in an accessible way, so that interested readers, even those who are not experts in the field, will be able to appreciate the topics treated. Employing a style suitable for professionals with little background in analysis, geometry or probability, the work goes directly to the connection between isoperimetric-type inequalities and functional inequalities, allowing readers to quickly access the core of these conjectures. In addition, four recent and important results concerning this theory are presented. The first two are theorems attributed to Eldan-Klartag and Ball-Nguyen, which relate the variance and the KLS conjectures, respectively, to the hyperplane conjecture. The remaining two present in detail the main ideas needed to prove the best known estimate for the thin-shell width given by Guédon-Milman, and an approach to Eldan’s work on the connection between the thin-shell width and the KLS conjecture.続きを見る
目次 The Conjectures
Main Examples
Relating the Conjectures
Appendix
Index.
冊子版へのリンク
本文を見る Full text available from Springer Lecture Notes in Mathematics eBooks
Full text available from Springer Mathematics and Statistics eBooks 2015 English/International

詳細

レコードID
主題
SSID
eISBN
登録日 2020.06.27
更新日 2020.06.28