The Oxford handbook of random matrix theory:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2011
|
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | XXXI, 919 S. Ill., graph. Darst. |
| ISBN: | 9780199574001 9780198744191 |
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| 245 | 1 | 0 | |a The Oxford handbook of random matrix theory |c eds. Gernot Akemann ... |
| 246 | 1 | 3 | |a Handbook of random matrix theory |
| 246 | 1 | 3 | |a Random matrix theory |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2011 | |
| 300 | |a XXXI, 919 S. |b Ill., graph. Darst. | ||
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Record in the Search Index
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| adam_text | Titel: The Oxford handbook of random matrix theory
Autor: Akemann, Gernot
Jahr: 2011
Contents
Detailed Contents............................................................................................ xv
List of Contributors..................................................................................... xxvii
Part I Introduction
1 Introduction and guide to the handbook....................................................... 3
G. Akemann, J. Baik and P. Di Francesco
2 History - an overview..................................................................................... 15
O. Bohigas and H. A. Weidenmüller
Part II Properties of random matrix theory
3 Symmetry classes............................................................................................ 43
M. R. Zirnbauer
4 Spectral statistics of unitary ensembles....................................................... 66
G. W. Anderson
5 Spectral statistics of orthogonal and symplectic ensembles..................... 86
M.Adler
6 Universality.................................................................................................... 103
A. B.J. Kuijlaars
7 Supersymmetry............................................................................................. 135
T. Guhr
8 Replica approach in random matrix theory............................................... 155
E. Kanzieper
9 Painleve transcendents................................................................................. 176
A. R. Its
10 Random matrix theory and integrable Systems........................................ 198
P. van Moerbeke
xii Contents
11 Determinantal point processes................................................................... 231
A. Borodin
12 Random matrix representations of critical statistics................................ 250
V. E. Kravtsov
13 Heavy-tailed random matrices.................................................................... 270
Z. Burda and J. Jurkiewicz
14 Phase transitions........................................................................................... 290
G. M. Cicuta and L. G. Molinari
15 Two-matrix modeis and biorthogonal polynomials.................................. 310
M. Bertola
16 Chain of matrices, loop equations, and topological recursion................ 329
N. Orantin
17 Unitary integrals and related matrix modeis............................................. 353
A. Morozov
18 Non-Hermitian ensembles.......................................................................... 376
B. A. Khoruzhenko and H.-J. Sommers
19 Characteristic polynomials.......................................................................... 398
E. Brezin and S. Hikami
20 Beta ensembles.............................................................................................. 415
P. J. Forrester
21 Wigner matrices............................................................................................ 433
G. Ben Arous and A. Guionnet
22 Free probability theory................................................................................. 452
R. Speicher
23 Random banded and sparse matrices........................................................ 471
T. Spencer
Part III Applications of random matrix theory
24 Number theory.............................................................................................. 491
/. P. Keating and N. C. Snaith
Contents xiii
25 Random permutations and related topics.................................................. 510
G. Olshanski
26 Enumeration of maps................................................................................... 534
/. Bouttier
27 Knot theory and matrix integrals................................................................ 557
P. Zinn-Justin andJ.-B. Zuber
28 Multivariate statistics.................................................................................... 578
JV. El Karoui
29 Algebraic geometry and matrix modeis..................................................... 597
I. O. Chekhov
30 Two-dimensional quanturn gravity............................................................. 619
I. Kostov
31 String theory.................................................................................................. 641
M. Marino
32 Quantum chromodynamics......................................................................... 661
/. J. M. Verbaarschot
33 Quantum chaos and quantum graphs....................................................... 683
S. Müller and M. Sieber
34 Resonance scattering of waves in chaotic Systems................................... 703
Y. V. Fyodorov and D. V. Savin
35 Condensed matter physics........................................................................... 723
C. W.J. Beenakker
36 Classical and quanturn optics...................................................................... 744
C. W.J. Beenakker
37 Extreme eigenvalues of Wishart matrices: application to entangled
bipartite System............................................................................................. 759
S. N. Majumdar
38 Random growth modeis............................................................................... 782
P. L. Ferrari and H. Spohn
39 Random matrices and laplacian growth................................................... 802
A. Zabrodin
xiv Contents
40 Financial applications of random matrix theory: a short review............ 824
J.-P. Bouchaud and M. Potters
41 Asymptotic Singular value distributions in Information theory............. 851
A. M. Tulino and S. Verdü
42 Random matrix theory and ribonucleic acid (RNA) folding................... 873
G. Vernizzi and H. Orland
43 Complex networks........................................................................................ 898
G. J. Rodgers and T. Nagao
Index...................................................................................................................... 912
|
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| ctrlnum | (OCoLC)753228008 (DE-599)BVBBV039551441 |
| dewey-full | 512/.5 512.9434 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.5 512.9434 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T00:06:05Z |
| institution | BVB |
| isbn | 9780199574001 9780198744191 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024403312 |
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| physical | XXXI, 919 S. Ill., graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| spelling | The Oxford handbook of random matrix theory eds. Gernot Akemann ... Handbook of random matrix theory Random matrix theory 1. publ. Oxford [u.a.] Oxford Univ. Press 2011 XXXI, 919 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Stochastische Matrix (DE-588)4057624-3 gnd rswk-swf Stochastische Matrix (DE-588)4057624-3 s DE-604 Akemann, Gernot Sonstige (DE-588)114339503 oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024403312&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | The Oxford handbook of random matrix theory Stochastische Matrix (DE-588)4057624-3 gnd |
| subject_GND | (DE-588)4057624-3 |
| title | The Oxford handbook of random matrix theory |
| title_alt | Handbook of random matrix theory Random matrix theory |
| title_auth | The Oxford handbook of random matrix theory |
| title_exact_search | The Oxford handbook of random matrix theory |
| title_full | The Oxford handbook of random matrix theory eds. Gernot Akemann ... |
| title_fullStr | The Oxford handbook of random matrix theory eds. Gernot Akemann ... |
| title_full_unstemmed | The Oxford handbook of random matrix theory eds. Gernot Akemann ... |
| title_short | The Oxford handbook of random matrix theory |
| title_sort | the oxford handbook of random matrix theory |
| topic | Stochastische Matrix (DE-588)4057624-3 gnd |
| topic_facet | Stochastische Matrix |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024403312&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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