| HAL: hal-00423440, version 1 |
| DOI: 10.1063/1.3285287 |
| Detailed view | Export this paper |
|
|
| Journal of Mathematical Physics 51, 1 (2010) 015208 |
|
|
|
|
| A quantum central limit theorem for sums of IID random variables |
|
|
| Vojkan Jaksic 1Yan Pautrat 2 |
|
|
| (2010-01-29) |
|
|
| We formulate and prove a general central limit theorem for sums of independent identically distributed non-commutative random variables. |
|
|
|
|
|
|
|
|
|
|
| 1: | Department of Mathematics and Statistics [Mac Gill] |
| Mac Gill University | |
| 2: | Laboratoire de Mathématiques d'Orsay (LM-Orsay) |
| CNRS : UMR8628 – Université Paris XI - Paris Sud | |
| 3: | Centre de Physique Théorique (CPT) |
| CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var | |
|
|
|
|
|
|
|
|
| Subject | : | Physics/Mathematical Physics Mathematics/Probability Mathematics/Operator Algebras Mathematics/Mathematical Physics |
|
|
| Quantum probability – central limit theorem – Levy-Cramer |
|
|
| Attached file list to this document: | |||||
|
|
|
| hal-00423440, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00423440 | |
| oai:hal.archives-ouvertes.fr:hal-00423440 | |
| From: Claude-Alain Pillet | |
| Submitted on: Friday, 9 October 2009 22:36:47 | |
| Updated on: Friday, 29 January 2010 23:49:33 | |