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The Resource Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2017-2019 Volume II, edited by Bo'az Klartag, Emanuel Milman, (electronic resource)

Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2017-2019 Volume II, edited by Bo'az Klartag, Emanuel Milman, (electronic resource)

Label
Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2017-2019 Volume II
Title
Geometric Aspects of Functional Analysis
Title remainder
Israel Seminar (GAFA) 2017-2019 Volume II
Statement of responsibility
edited by Bo'az Klartag, Emanuel Milman
Contributor
Editor
Subject
Language
eng
Summary
Continuing the theme of the previous volume, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest examples of regularity and order in high dimensions. Central to the text is the study of the Poincaré and log-Sobolev functional inequalities, their reverses, and other inequalities, in which a crucial role is often played by convexity assumptions such as Log-Concavity. The concept and properties of Entropy form an important subject, with Bourgain's slicing problem and its variants drawing much attention. Constructions related to Convexity Theory are proposed and revisited, as well as inequalities that go beyond the Brunn–Minkowski theory. One of the major current research directions addressed is the identification of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, connections to Computer Science and to Differential Geometry are also discussed.--
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0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
  • Klartag, Bo'az
  • Milman, Emanuel
Series statement
  • Lecture Notes in Mathematics,
  • Springer eBooks.
Series volume
2266
http://library.link/vocab/subjectName
  • Functional analysis
  • Convex geometry
  • Discrete geometry
  • Probabilities
Label
Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2017-2019 Volume II, edited by Bo'az Klartag, Emanuel Milman, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-46762-3
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
Control code
978-3-030-46762-3
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (X, 348 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030467630
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
8 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1162844918
Label
Geometric Aspects of Functional Analysis : Israel Seminar (GAFA) 2017-2019 Volume II, edited by Bo'az Klartag, Emanuel Milman, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-030-46762-3
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
Control code
978-3-030-46762-3
Dimensions
unknown
Edition
1st ed. 2020.
Extent
1 online resource (X, 348 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Isbn
9783030467630
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
8 illustrations, 1 illustration in color.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1162844918

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