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Approaching the Kannan-Lovász-Simonovits and variance conjectures

Author: David Alonso-Gutierrez; J Bastero
Publisher: Cham : Springer, [2015] ©2015
Series: Lecture notes in mathematics (Springer-Verlag), 2131.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

Focusing on two central conjectures of Asymptotic Geometric Analysis, the Kannan-Lovasz-Simonovits spectral gap conjecture and the variance conjecture, these Lecture Notes present the theory in an  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: David Alonso-Gutierrez; J Bastero
ISBN: 3319132628 9783319132624
OCLC Number: 893708768
Description: x, 148 pages ; 24 cm.
Contents: The Conjectures. Introduction and Notation --
The KLS Conjecture in Theoretical Computer Science --
Cheeger-type Isoperimetric Inequality --
Poincare's Inequalities and Spectral Gap --
E. Milman's Theorem --
Kannan-Lovasz-Simonovits Spectral Gap Conjecture --
The Variance Conjecture --
Main Examples. Tensorizing Examples Verifying KLS --
Examples Verifying the Square Negative Correlation Property --
Orthogonal Projections of B n/1 and B n/∞ and the Variance Conjecture --
Klartag's Theorems for Unconditioned Bodies --
Relating the Conjectures. From the Variance Conjecture to the Slicing Problem via Eldan-Klartag's Method --
KLS Conjecture Versus Hyperplane Conjecture According to Ball and Nguyen --
From the Thin-Shell Width to the KLS Conjecture: An Approach to R. Eldan's Method --
Guedon and Milman's Estimate for the Thin-Shell Width.
Series Title: Lecture notes in mathematics (Springer-Verlag), 2131.
Responsibility: David Alonso-Gutiérrez, Jesús Bastero.

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