Approaching the Kannan-Lovász-Simonovits and Variance Conjectures

Nonfiction, Science & Nature, Mathematics, Functional Analysis, Geometry
Cover of the book Approaching the Kannan-Lovász-Simonovits and Variance Conjectures by Jesús Bastero, David Alonso-Gutiérrez, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Jesús Bastero, David Alonso-Gutiérrez ISBN: 9783319132631
Publisher: Springer International Publishing Publication: January 7, 2015
Imprint: Springer Language: English
Author: Jesús Bastero, David Alonso-Gutiérrez
ISBN: 9783319132631
Publisher: Springer International Publishing
Publication: January 7, 2015
Imprint: Springer
Language: English

Focusing on two central conjectures of Asymptotic Geometric Analysis, the Kannan-Lovász-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 treated topics. Offering a presentation 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, giving the interested reader rapid access to the core of these conjectures.

In addition, four recent and important results in this theory are presented in a compelling way. The first two are theorems due to Eldan-Klartag and Ball-Nguyen, relating the variance and the KLS conjectures, respectively, to the hyperplane conjecture. Next, the main ideas needed 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 are detailed.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

Focusing on two central conjectures of Asymptotic Geometric Analysis, the Kannan-Lovász-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 treated topics. Offering a presentation 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, giving the interested reader rapid access to the core of these conjectures.

In addition, four recent and important results in this theory are presented in a compelling way. The first two are theorems due to Eldan-Klartag and Ball-Nguyen, relating the variance and the KLS conjectures, respectively, to the hyperplane conjecture. Next, the main ideas needed 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 are detailed.

More books from Springer International Publishing

Cover of the book Currencies of the Indian Ocean World by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Image Analysis and Processing - ICIAP 2017 by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Living Under the Threat of Earthquakes by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Women's Networks in Medieval France by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Conversion Narratives in Early Modern England by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Creationism and Anti-Creationism in the United States by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Integral Methods in Science and Engineering by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Bacterial Diversity in Sustainable Agriculture by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Information Sciences and Systems 2015 by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Advances in Heart Valve Biomechanics by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Estimation and Control of Dynamical Systems by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Monitoring the Nervous System for Anesthesiologists and Other Health Care Professionals by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Coleridge's Dejection Ode by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Euclidean Geometry and its Subgeometries by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book The International Court of Justice by Jesús Bastero, David Alonso-Gutiérrez
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy