Random matrices and random partitions: normal convergence
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey [u.a.]
World Scientific
2015
|
| Series: | World scientific series on probability theory and its applications
1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | XII, 271 S. |
| ISBN: | 9789814612227 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Random matrices and random partitions
Autor: Su, Zhonggen
Jahr: 2015
Contents
Preface vii
1. Normal Convergence 1
1.1 Classical central limit theorems 1
1.2 The Stein method 19
1.3 The Stieltjes transform method 25
1.4 Convergence of stochastic processes 29
2. Circular Unitary Ensemble 33
2.1 Introduction 33
2.2 Symmetrie groups and Symmetrie polynomials 38
2.3 Linear functionals of eigenvalues 47
2.4 Five diagonal matrix models 57
2.5 Circular ß ensembles 78
3. Gaussian Unitary Ensemble 89
3.1 Introduction 89
3.2 Fluctuations of Stieltjes transforms 98
3.3 Number of eigenvalues in an interval 112
3.4 Logarithmic law 125
3.5 Her mite ß ensembles 136
4. Random Uniform Partitions 153
4.1 Introduction 153
4.2 Grand ensembles 160
4.3 Small ensembles 169
xii
Random Matrices and Random Partitions
4.4 A functional central limit theorem 180
4.5 Random multiplicative partitions 200
5. Random Plancherel Partitions 207
5.1 Introduction 207
5.2 Global fluctuations 220
5.3 Fluctuations in the bulk 237
5.4 Berry-Esseen bounds for character ratios 244
5.5 Determinantal structure 253
Bibliography 261
Index 267
|
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| ctrlnum | (OCoLC)919477434 (DE-599)BVBBV042733105 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-sort | 3519.2 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV042733105 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:08:28Z |
| institution | BVB |
| isbn | 9789814612227 |
| language | English |
| lccn | 015004842 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028164092 |
| oclc_num | 919477434 |
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| owner | DE-384 DE-19 DE-BY-UBM |
| owner_facet | DE-384 DE-19 DE-BY-UBM |
| physical | XII, 271 S. |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | World Scientific |
| record_format | marc |
| series | World scientific series on probability theory and its applications |
| series2 | World scientific series on probability theory and its applications |
| spelling | Su, Zhonggen Verfasser aut Random matrices and random partitions normal convergence Zhonggen Su New Jersey [u.a.] World Scientific 2015 XII, 271 S. txt rdacontent n rdamedia nc rdacarrier World scientific series on probability theory and its applications 1 Includes bibliographical references and index Random matrices Probabilities Stochastische Matrix (DE-588)4057624-3 gnd rswk-swf Grenzwertsatz (DE-588)4158163-5 gnd rswk-swf Stochastische Matrix (DE-588)4057624-3 s Grenzwertsatz (DE-588)4158163-5 s DE-604 World scientific series on probability theory and its applications 1 (DE-604)BV042764310 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028164092&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Su, Zhonggen Random matrices and random partitions normal convergence World scientific series on probability theory and its applications Random matrices Probabilities Stochastische Matrix (DE-588)4057624-3 gnd Grenzwertsatz (DE-588)4158163-5 gnd |
| subject_GND | (DE-588)4057624-3 (DE-588)4158163-5 |
| title | Random matrices and random partitions normal convergence |
| title_auth | Random matrices and random partitions normal convergence |
| title_exact_search | Random matrices and random partitions normal convergence |
| title_full | Random matrices and random partitions normal convergence Zhonggen Su |
| title_fullStr | Random matrices and random partitions normal convergence Zhonggen Su |
| title_full_unstemmed | Random matrices and random partitions normal convergence Zhonggen Su |
| title_short | Random matrices and random partitions |
| title_sort | random matrices and random partitions normal convergence |
| title_sub | normal convergence |
| topic | Random matrices Probabilities Stochastische Matrix (DE-588)4057624-3 gnd Grenzwertsatz (DE-588)4158163-5 gnd |
| topic_facet | Random matrices Probabilities Stochastische Matrix Grenzwertsatz |
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