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 Computer Vision – ECCV 2016 by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Long-Term Care in Europe by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Advances in Ergonomics in Design by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Intelligent Systems for Computer Modelling by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Elder Abuse by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Representing the Eighteenth Century in Film and Television, 2000–2015 by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Random Walks, Random Fields, and Disordered Systems by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Governance in Russian Regions by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Fuzzy Logic and Soft Computing Applications by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Understanding Novelty in Organizations by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Avalanches in Functional Materials and Geophysics by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Violence, Colonialism and Empire in the Modern World by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book The New Arctic by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book Basic Thermochemistry in Materials Processing by Jesús Bastero, David Alonso-Gutiérrez
Cover of the book PET/CT in Prostate Cancer 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