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
Random Matrix Theory with an Externa...
~
Brézin, Edouard.
Random Matrix Theory with an External Source
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
Random Matrix Theory with an External Source/ by Edouard Brézin, Shinobu Hikami.
作者:
Brézin, Edouard.
其他作者:
Hikami, Shinobu.
面頁冊數:
XII, 138 p.online resource. :
Contained By:
Springer Nature eBook
標題:
Mathematical physics. -
電子資源:
https://doi.org/10.1007/978-981-10-3316-2
ISBN:
9789811033162
Random Matrix Theory with an External Source
Brézin, Edouard.
Random Matrix Theory with an External Source
[electronic resource] /by Edouard Brézin, Shinobu Hikami. - 1st ed. 2016. - XII, 138 p.online resource. - SpringerBriefs in Mathematical Physics,192197-1757 ;. - SpringerBriefs in Mathematical Physics,8.
This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random matrix models in the presence of a deterministic matrix source. In such models the correlation functions are known exactly for an arbitrary source and for any size of the matrices. The freedom given by the external source allows for various tunings to different classes of universality. The main interest is to use this freedom to compute various topological invariants for surfaces such as the intersection numbers for curves drawn on a surface of given genus with marked points, Euler characteristics, and the Gromov–Witten invariants. A remarkable duality for the average of characteristic polynomials is essential for obtaining such topological invariants. The analysis is extended to nonorientable surfaces and to surfaces with boundaries.
ISBN: 9789811033162
Standard No.: 10.1007/978-981-10-3316-2doiSubjects--Topical Terms:
527831
Mathematical physics.
LC Class. No.: QA401-425
Dewey Class. No.: 530.15
Random Matrix Theory with an External Source
LDR
:02377nam a22003975i 4500
001
981547
003
DE-He213
005
20200701152031.0
007
cr nn 008mamaa
008
201211s2016 si | s |||| 0|eng d
020
$a
9789811033162
$9
978-981-10-3316-2
024
7
$a
10.1007/978-981-10-3316-2
$2
doi
035
$a
978-981-10-3316-2
050
4
$a
QA401-425
050
4
$a
QC19.2-20.85
072
7
$a
PHU
$2
bicssc
072
7
$a
SCI040000
$2
bisacsh
072
7
$a
PHU
$2
thema
082
0 4
$a
530.15
$2
23
100
1
$a
Brézin, Edouard.
$e
author.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1273935
245
1 0
$a
Random Matrix Theory with an External Source
$h
[electronic resource] /
$c
by Edouard Brézin, Shinobu Hikami.
250
$a
1st ed. 2016.
264
1
$a
Singapore :
$b
Springer Singapore :
$b
Imprint: Springer,
$c
2016.
300
$a
XII, 138 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
SpringerBriefs in Mathematical Physics,
$x
2197-1757 ;
$v
19
520
$a
This is a first book to show that the theory of the Gaussian random matrix is essential to understand the universal correlations with random fluctuations and to demonstrate that it is useful to evaluate topological universal quantities. We consider Gaussian random matrix models in the presence of a deterministic matrix source. In such models the correlation functions are known exactly for an arbitrary source and for any size of the matrices. The freedom given by the external source allows for various tunings to different classes of universality. The main interest is to use this freedom to compute various topological invariants for surfaces such as the intersection numbers for curves drawn on a surface of given genus with marked points, Euler characteristics, and the Gromov–Witten invariants. A remarkable duality for the average of characteristic polynomials is essential for obtaining such topological invariants. The analysis is extended to nonorientable surfaces and to surfaces with boundaries.
650
0
$a
Mathematical physics.
$3
527831
650
0
$a
Statistical physics.
$3
528048
650
0
$a
Topological groups.
$3
885827
650
0
$a
Lie groups.
$3
527929
650
0
$a
Nuclear physics.
$3
591618
650
0
$a
Dynamical systems.
$3
1249739
650
1 4
$a
Mathematical Physics.
$3
786661
650
2 4
$a
Statistical Physics and Dynamical Systems.
$3
1114011
650
2 4
$a
Topological Groups, Lie Groups.
$3
672074
650
2 4
$a
Particle and Nuclear Physics.
$3
769262
650
2 4
$a
Complex Systems.
$3
888664
700
1
$a
Hikami, Shinobu.
$4
aut
$4
http://id.loc.gov/vocabulary/relators/aut
$3
1117530
710
2
$a
SpringerLink (Online service)
$3
593884
773
0
$t
Springer Nature eBook
776
0 8
$i
Printed edition:
$z
9789811033155
776
0 8
$i
Printed edition:
$z
9789811033179
830
0
$a
SpringerBriefs in Mathematical Physics,
$x
2197-1757 ;
$v
8
$3
1263793
856
4 0
$u
https://doi.org/10.1007/978-981-10-3316-2
912
$a
ZDB-2-SMA
912
$a
ZDB-2-SXMS
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