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Approaching the Kannan-Lovasz-Simono...

Alonso-Gutierrez, David.

Approaching the Kannan-Lovasz-Simonovits and variance conjectures[electronic resource] /

レコード種別:	言語・文字資料 (印刷物) : 単行資料
[NT 15000414] null:	515.1
タイトル / 著者:	Approaching the Kannan-Lovasz-Simonovits and variance conjectures/ by David Alonso-Gutierrez, Jesus Bastero.
著者:	Alonso-Gutierrez, David.
その他の著者:	Bastero, Jesus.
出版された:	Cham : : Springer International Publishing :, 2015.
記述:	x, 148 p. : : ill., digital ;; 24 cm.
含まれています:	Springer eBooks
主題:	Geometric analysis.
主題:	Functional analysis.
主題:	Mathematics.
主題:	Functional Analysis.
主題:	Convex and Discrete Geometry.
主題:	Probability Theory and Stochastic Processes.
国際標準図書番号 (ISBN) :	9783319132631 (electronic bk.)
国際標準図書番号 (ISBN) :	9783319132624 (paper)
[NT 15000228] null:	The Conjectures -- Main Examples -- Relating the Conjectures -- Appendix -- Index.
[NT 15000229] null:	Focusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovasz-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 Guedon-Milman, and an approach to Eldan’s work on the connection between the thin-shell width and the KLS conjecture.
電子資源:	http://dx.doi.org/10.1007/978-3-319-13263-1

Approaching the Kannan-Lovasz-Simonovits and variance conjectures[electronic resource] /
Alonso-Gutierrez, David.

Approaching the Kannan-Lovasz-Simonovits and variance conjectures[electronic resource] /by David Alonso-Gutierrez, Jesus Bastero. - Cham :Springer International Publishing :2015. - x, 148 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21310075-8434 ;. - Lecture notes in mathematics ;2035..

The Conjectures -- Main Examples -- Relating the Conjectures -- Appendix -- Index.

Focusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovasz-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 Guedon-Milman, and an approach to Eldan’s work on the connection between the thin-shell width and the KLS conjecture.

ISBN: 9783319132631 (electronic bk.)

Standard No.: 10.1007/978-3-319-13263-1doiSubjects--Topical Terms:

464918
Geometric analysis.

LC Class. No.: QA360

Dewey Class. No.: 515.1

Approaching the Kannan-Lovasz-Simonovits and variance conjectures[electronic resource] /
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245 1 0 $a Approaching the Kannan-Lovasz-Simonovits and variance conjectures $h [electronic resource] / $c by David Alonso-Gutierrez, Jesus Bastero.
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490 1 $a Lecture notes in mathematics, $x 0075-8434 ; $v 2131
505 0 $a The Conjectures -- Main Examples -- Relating the Conjectures -- Appendix -- Index.
520 $a Focusing on two central conjectures from the field of Asymptotic Geometric Analysis, the Kannan-Lovasz-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 Guedon-Milman, and an approach to Eldan’s work on the connection between the thin-shell width and the KLS conjecture.
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650 2 4 $a Convex and Discrete Geometry. $3 470189
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950 $a Mathematics and Statistics (Springer-11649)

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http://dx.doi.org/10.1007/978-3-319-13263-1

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