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 Mechanical and Creep Behavior of Advanced Materials by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Succession Law, Practice and Society in Europe across the Centuries by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Globalization, EU Democracy Assistance and the World Social Forum by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Complex Magnetic Nanostructures by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Analysis of Hydrogeochemical Vulnerability by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Pediatric Neurotoxicology by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book 2nd International Conference on Wireless Intelligent and Distributed Environment for Communication by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Research in Computational Molecular Biology by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Artificial General Intelligence by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Nanoscience in Food and Agriculture 2 by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Entrepreneurial Negotiation by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book COOP 2014 - Proceedings of the 11th International Conference on the Design of Cooperative Systems, 27-30 May 2014, Nice (France) by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Paradox Lost by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Lagrangian Oceanography by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Transportation Analytics in the Era of Big Data 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