Coverart for item
The Resource Random Matrix Theory with an External Source, by Edouard Brézin, Shinobu Hikami, (electronic resource)

Random Matrix Theory with an External Source, by Edouard Brézin, Shinobu Hikami, (electronic resource)

Label
Random Matrix Theory with an External Source
Title
Random Matrix Theory with an External Source
Statement of responsibility
by Edouard Brézin, Shinobu Hikami
Creator
Contributor
Author
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Brézin, Edouard
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Hikami, Shinobu
Series statement
  • SpringerBriefs in Mathematical Physics,
  • Springer eBooks
  • Springer eBooks.
Series volume
19
http://library.link/vocab/subjectName
  • Statistical physics
  • Topological Groups
Label
Random Matrix Theory with an External Source, by Edouard Brézin, Shinobu Hikami, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-981-10-3316-2
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
978-981-10-3316-2
Dimensions
unknown
Extent
1 online resource (XII, 138 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789811033162
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)969641610
Label
Random Matrix Theory with an External Source, by Edouard Brézin, Shinobu Hikami, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-981-10-3316-2
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
978-981-10-3316-2
Dimensions
unknown
Extent
1 online resource (XII, 138 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9789811033162
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)969641610

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