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作者 Alonso-Gutierrez, David, author
書名 Approaching the Kannan-Lovasz-Simonovits and variance conjectures / by David Alonso-Gutierrez, Jesus Bastero
出版項 Cham : Springer International Publishing : Imprint: Springer, 2015
國際標準書號 9783319132631 (electronic bk.)
9783319132624 (paper)
國際標準號碼 10.1007/978-3-319-13263-1 doi
book jacket
說明 1 online resource (x, 148 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Lecture notes in mathematics, 0075-8434 ; 2131
Lecture notes in mathematics ; 2131
附註 The Conjectures -- Main Examples -- Relating the Conjectures -- Appendix -- Index
Focusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovasz-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the theory 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 Guedon-Milman, and an approach to Eldan’s work on the connection between the thin-shell width and the KLS conjecture
Springer
Host Item Springer eBooks
主題 Geometric analysis
Functional analysis
Mathematics
Functional Analysis
Convex and Discrete Geometry
Probability Theory and Stochastic Processes
Alt Author Bastero, Jesus, author
SpringerLink (Online service)
記錄 2 之 2
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