Random matrix central limit theorems for nonintersecting random walks
- Author
- BAIK, Jinho; SUIDAN, Toufic M
[1] University of Michigan, Ann Arbor, United States
[2] University of California, Santa Cruz, United States - Source
Annals of probability. 2007, Vol 35, Num 5, pp 1807-1834, 28 p ; ref : 55 ref
- CODEN
- APBYAE
- ISSN
- 0091-1798
- Scientific domain
- Mathematics
- Publisher
- Institute of Mathematical Statistics, Hayward, CA
- Publication country
- United States
- Document type
- Article
- Language
- English
- Author keyword
- 60F05. Nonintersecting random walks Riemann-Hilbert problem Stieltjes-Wigert polynomials Tracy-Widom distribution sine kernel strong approximation
- Keyword (fr)
- Fonction génératrice Loi limite Marche aléatoire Matrice aléatoire Théorie probabilité Théorème central limite Valeur propre 60F05 60Fxx 60G50 62E17
- Keyword (en)
- Generating function Limit distribution Random walk Random matrix Probability theory Central limit theorem Eigenvalue
- Keyword (es)
- Función generatriz Ley límite Marcha aleatoria Matriz aleatoria Teoría probabilidad Teorema central límite Valor propio
- Classification
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H01 Probability theory and stochastic processes / 001A02H01A General topics
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H01 Probability theory and stochastic processes / 001A02H01G Limit theorems
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H01 Probability theory and stochastic processes / 001A02H01H Stochastic processes
- Pascal
- 001 Exact sciences and technology / 001A Sciences and techniques of general use / 001A02 Mathematics / 001A02H Probability and statistics / 001A02H02 Statistics / 001A02H02F Distribution theory
- Discipline
- Mathematics
- Origin
- Inist-CNRS
- Database
- PASCAL
- INIST identifier
- 19126937
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Access to the document
Install on your browser
DOI
10.1214/009117906000001105 
https://dx.doi.org/10.1214/009117906000001105
"O:13:\"PanistOpenUrl\":36:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000idc\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009117906000001105\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:9:\"\u0000*\u0000jtitle\";s:21:\"Annals of probability\";s:9:\"\u0000*\u0000stitle\";s:11:\"Ann. probab\";s:7:\"\u0000*\u0000date\";s:4:\"2007\";s:9:\"\u0000*\u0000volume\";s:2:\"35\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"1807\";s:8:\"\u0000*\u0000epage\";s:4:\"1834\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0091-1798\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:4:\"BAIK\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Jinho\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:16:\"SUIDAN, Toufic M\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"APBYAE\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"28\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Panist access
"O:12:\"IstexOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009117906000001105\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:9:\"\u0000*\u0000jtitle\";s:21:\"Annals of probability\";s:9:\"\u0000*\u0000stitle\";s:11:\"Ann. probab\";s:7:\"\u0000*\u0000date\";s:4:\"2007\";s:9:\"\u0000*\u0000volume\";s:2:\"35\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"1807\";s:8:\"\u0000*\u0000epage\";s:4:\"1834\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0091-1798\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:4:\"BAIK\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Jinho\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:16:\"SUIDAN, Toufic M\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"APBYAE\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"28\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Istex access
"O:16:\"UnpaywallOpenUrl\":35:{s:8:\"\u0000*\u0000email\";s:27:\"assistance-portail@inist.fr\";s:6:\"\u0000*\u0000fmt\";N;s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009117906000001105\";s:6:\"\u0000*\u0000pii\";N;s:7:\"\u0000*\u0000pmid\";N;s:9:\"\u0000*\u0000atitle\";N;s:9:\"\u0000*\u0000jtitle\";N;s:9:\"\u0000*\u0000stitle\";N;s:7:\"\u0000*\u0000date\";N;s:9:\"\u0000*\u0000volume\";N;s:8:\"\u0000*\u0000issue\";N;s:8:\"\u0000*\u0000spage\";N;s:8:\"\u0000*\u0000epage\";N;s:8:\"\u0000*\u0000pages\";N;s:7:\"\u0000*\u0000issn\";N;s:8:\"\u0000*\u0000eissn\";N;s:9:\"\u0000*\u0000aulast\";N;s:10:\"\u0000*\u0000aufirst\";N;s:9:\"\u0000*\u0000auinit\";N;s:10:\"\u0000*\u0000auinitm\";N;s:5:\"\u0000*\u0000au\";N;s:9:\"\u0000*\u0000aucorp\";N;s:7:\"\u0000*\u0000isbn\";N;s:8:\"\u0000*\u0000coden\";N;s:8:\"\u0000*\u0000genre\";N;s:7:\"\u0000*\u0000part\";N;s:9:\"\u0000*\u0000btitle\";N;s:8:\"\u0000*\u0000title\";N;s:8:\"\u0000*\u0000place\";N;s:6:\"\u0000*\u0000pub\";N;s:10:\"\u0000*\u0000edition\";N;s:9:\"\u0000*\u0000tpages\";N;s:9:\"\u0000*\u0000series\";N;s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";N;}"
Unpaywall access
"O:16:\"EuropePMCOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009117906000001105\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:9:\"\u0000*\u0000jtitle\";s:21:\"Annals of probability\";s:9:\"\u0000*\u0000stitle\";s:11:\"Ann. probab\";s:7:\"\u0000*\u0000date\";s:4:\"2007\";s:9:\"\u0000*\u0000volume\";s:2:\"35\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"1807\";s:8:\"\u0000*\u0000epage\";s:4:\"1834\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0091-1798\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:4:\"BAIK\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Jinho\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:16:\"SUIDAN, Toufic M\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"APBYAE\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"28\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Europe PubMed Central access
"O:11:\"BaseOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009117906000001105\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:9:\"\u0000*\u0000jtitle\";s:21:\"Annals of probability\";s:9:\"\u0000*\u0000stitle\";s:11:\"Ann. probab\";s:7:\"\u0000*\u0000date\";s:4:\"2007\";s:9:\"\u0000*\u0000volume\";s:2:\"35\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"1807\";s:8:\"\u0000*\u0000epage\";s:4:\"1834\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0091-1798\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:4:\"BAIK\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Jinho\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:16:\"SUIDAN, Toufic M\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"APBYAE\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"28\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
Base Search access
"O:12:\"ArXivOpenUrl\":35:{s:10:\"\u0000*\u0000openUrl\";N;s:6:\"\u0000*\u0000fmt\";s:7:\"journal\";s:6:\"\u0000*\u0000doi\";s:26:\"10.1214\/009117906000001105\";s:6:\"\u0000*\u0000pii\";s:0:\"\";s:7:\"\u0000*\u0000pmid\";s:0:\"\";s:9:\"\u0000*\u0000atitle\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:9:\"\u0000*\u0000jtitle\";s:21:\"Annals of probability\";s:9:\"\u0000*\u0000stitle\";s:11:\"Ann. probab\";s:7:\"\u0000*\u0000date\";s:4:\"2007\";s:9:\"\u0000*\u0000volume\";s:2:\"35\";s:8:\"\u0000*\u0000issue\";s:1:\"5\";s:8:\"\u0000*\u0000spage\";s:4:\"1807\";s:8:\"\u0000*\u0000epage\";s:4:\"1834\";s:8:\"\u0000*\u0000pages\";s:0:\"\";s:7:\"\u0000*\u0000issn\";s:9:\"0091-1798\";s:8:\"\u0000*\u0000eissn\";s:0:\"\";s:9:\"\u0000*\u0000aulast\";s:4:\"BAIK\";s:10:\"\u0000*\u0000aufirst\";s:5:\"Jinho\";s:9:\"\u0000*\u0000auinit\";s:0:\"\";s:10:\"\u0000*\u0000auinitm\";s:0:\"\";s:5:\"\u0000*\u0000au\";a:1:{i:0;s:16:\"SUIDAN, Toufic M\";}s:9:\"\u0000*\u0000aucorp\";s:0:\"\";s:7:\"\u0000*\u0000isbn\";s:0:\"\";s:8:\"\u0000*\u0000coden\";s:6:\"APBYAE\";s:8:\"\u0000*\u0000genre\";s:7:\"article\";s:7:\"\u0000*\u0000part\";s:0:\"\";s:9:\"\u0000*\u0000btitle\";s:0:\"\";s:8:\"\u0000*\u0000title\";s:69:\"Random matrix central limit theorems for nonintersecting random walks\";s:8:\"\u0000*\u0000place\";s:11:\"Hayward, CA\";s:6:\"\u0000*\u0000pub\";s:36:\"Institute of Mathematical Statistics\";s:10:\"\u0000*\u0000edition\";s:0:\"\";s:9:\"\u0000*\u0000tpages\";s:2:\"28\";s:9:\"\u0000*\u0000series\";s:0:\"\";s:8:\"\u0000*\u0000proxy\";s:30:\"http:\/\/proxyout.inist.fr:8080\/\";s:12:\"\u0000*\u0000integrite\";b:1;}"
arXiv access
