Approaching the Kannan-Lovász-Simonovits and variance conjectures [electronic resource] / David Alonso-Gutiérrez, Jesús Bastero.
Alonso-Gutiérrez, David, author.; Bastero, Jesús, author.
2015
QA360
Available Online

Linked e-resources

Linked Resource Online Access
Concurrent users Unlimited
Authorized users Authorized users
Document Delivery Supplied Can lend chapters, not whole ebooks

Details

Title Approaching the Kannan-Lovász-Simonovits and variance conjectures [electronic resource] / David Alonso-Gutiérrez, Jesús Bastero.
Author Alonso-Gutiérrez, David, author.
ISBN 9783319132631 electronic book
3319132636 electronic book
9783319132624
DOI https://doi.org/10.1007/978-3-319-13263-1
Published Cham : Springer, 2015.
Copyright ©2015
Language English
Description 1 online resource (x, 148 pages).
Item Number 10.1007/978-3-319-13263-1 doi
Call Number QA360
Dewey Decimal Classification 515/.1
Summary Focusing on two central conjectures from the field 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 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 Guédon-Milman, and an approach to Eldan?s work on the connection between the thin-shell width and the KLS conjecture.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed January 28, 2015).
Added Author Bastero, Jesús, author.
Series Lecture notes in mathematics (Springer-Verlag) ; 2131.
Available in Other Form Print version: 9783319132624
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
The Conjectures
Main Examples
Relating the Conjectures
Appendix
Index.

Browse Subjects

Show more subjects...

Statistics

from
to
Export