語系:
繁體中文
English
說明(常見問題)
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
Approaching the Kannan-Lovász-Simono...
~
SpringerLink (Online service)
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures/ by David Alonso-Gutiérrez, Jesús Bastero.
作者:
Alonso-Gutiérrez, David.
其他作者:
Bastero, Jesús.
面頁冊數:
X, 148 p.online resource. :
Contained By:
Springer Nature eBook
標題:
Functional analysis. -
電子資源:
https://doi.org/10.1007/978-3-319-13263-1
ISBN:
9783319132631
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
Alonso-Gutiérrez, David.
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
[electronic resource] /by David Alonso-Gutiérrez, Jesús Bastero. - 1st ed. 2015. - X, 148 p.online resource. - Lecture Notes in Mathematics,21310075-8434 ;. - Lecture Notes in Mathematics,2144.
The Conjectures -- Main Examples -- Relating the Conjectures -- Appendix -- Index.
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.
ISBN: 9783319132631
Standard No.: 10.1007/978-3-319-13263-1doiSubjects--Topical Terms:
527706
Functional analysis.
LC Class. No.: QA319-329.9
Dewey Class. No.: 515.7
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
LDR
:02623nam a22004095i 4500
001
965844
003
DE-He213
005
20200704161106.0
007
cr nn 008mamaa
008
201211s2015 gw | s |||| 0|eng d
020
$a
9783319132631
$9
978-3-319-13263-1
024
7
$a
10.1007/978-3-319-13263-1
$2
doi
035
$a
978-3-319-13263-1
050
4
$a
QA319-329.9
072
7
$a
PBKF
$2
bicssc
072
7
$a
MAT037000
$2
bisacsh
072
7
$a
PBKF
$2
thema
082
0 4
$a
515.7
$2
23
100
1
$a
Alonso-Gutiérrez, David.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1261493
245
1 0
$a
Approaching the Kannan-Lovász-Simonovits and Variance Conjectures
$h
[electronic resource] /
$c
by David Alonso-Gutiérrez, Jesús Bastero.
250
$a
1st ed. 2015.
264
1
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2015.
300
$a
X, 148 p.
$b
online resource.
336
$a
text
$b
txt
$2
rdacontent
337
$a
computer
$b
c
$2
rdamedia
338
$a
online resource
$b
cr
$2
rdacarrier
347
$a
text file
$b
PDF
$2
rda
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-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.
650
0
$a
Functional analysis.
$3
527706
650
0
$a
Convex geometry .
$3
1255327
650
0
$a
Discrete geometry.
$3
672137
650
0
$a
Probabilities.
$3
527847
650
1 4
$a
Functional Analysis.
$3
672166
650
2 4
$a
Convex and Discrete Geometry.
$3
672138
650
2 4
$a
Probability Theory and Stochastic Processes.
$3
593945
700
1
$a
Bastero, Jesús.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1261494
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9783319132648
776
0 8
$i
Printed edition:
$z
9783319132624
830
0
$a
Lecture Notes in Mathematics,
$x
0075-8434 ;
$v
2144
$3
1254300
856
4 0
$u
https://doi.org/10.1007/978-3-319-13263-1
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
912
$a
ZDB-2-LNM
950
$a
Mathematics and Statistics (SpringerNature-11649)
950
$a
Mathematics and Statistics (R0) (SpringerNature-43713)
筆 0 讀者評論
多媒體
評論
新增評論
分享你的心得
Export
取書館別
處理中
...
變更密碼[密碼必須為2種組合(英文和數字)及長度為10碼以上]
登入