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Random Matrix Theory with an External Source
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Singapore :
Springer Nature Singapore : Imprint: Springer,
2016.
|
| Edición: | 1st ed. 2016. |
| Colección: | SpringerBriefs in Mathematical Physics,
19 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-981-10-3316-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220428094946.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 170113s2016 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 | |
| 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 | |
| 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 Nature 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 2197-1765 ; |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. | |
| 650 | 0 | |a Topological groups. | |
| 650 | 0 | |a Lie groups. | |
| 650 | 0 | |a Nuclear physics. | |
| 650 | 0 | |a System theory. | |
| 650 | 1 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Theoretical, Mathematical and Computational Physics. |
| 650 | 2 | 4 | |a Topological Groups and Lie Groups. |
| 650 | 2 | 4 | |a Nuclear and Particle Physics. |
| 650 | 2 | 4 | |a Complex Systems. |
| 700 | 1 | |a Hikami, Shinobu. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 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 2197-1765 ; |v 19 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-981-10-3316-2 |z Texto Completo |
| 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) | ||