The Resource Approaching the Kannan-Lovász-Simonovits and Variance Conjectures, by David Alonso-Gutiérrez, Jesús Bastero, (electronic resource)

Approaching the Kannan-Lovász-Simonovits and Variance Conjectures, by David Alonso-Gutiérrez, Jesús Bastero, (electronic resource)

Label
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
Title
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
Statement of responsibility
by David Alonso-Gutiérrez, Jesús Bastero
Creator
Contributor
Author
Provider
Subject
Language
eng
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
Member of
http://library.link/vocab/creatorName
Alonso-Gutiérrez, David
Image bit depth
0
LC call number
QA319-329.9
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Bastero, Jesús.
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
2131
http://library.link/vocab/subjectName
  • Mathematics
  • Functional analysis
  • Discrete groups
  • Distribution (Probability theory)
  • Mathematics
  • Functional Analysis
  • Convex and Discrete Geometry
  • Probability Theory and Stochastic Processes
Label
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures, by David Alonso-Gutiérrez, Jesús Bastero, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
The Conjectures -- Main Examples -- Relating the Conjectures -- Appendix -- Index
Dimensions
unknown
Extent
X, 148 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319132631
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-13263-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-13263-1
Label
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures, by David Alonso-Gutiérrez, Jesús Bastero, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
The Conjectures -- Main Examples -- Relating the Conjectures -- Appendix -- Index
Dimensions
unknown
Extent
X, 148 p.
File format
multiple file formats
Form of item
electronic
Isbn
9783319132631
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-13263-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-13263-1

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