{ "id": "0905.3989", "version": "v1", "published": "2009-05-25T15:42:21.000Z", "updated": "2009-05-25T15:42:21.000Z", "title": "Maximum of Dyson Brownian motion and non-colliding systems with a boundary", "authors": [ "Alexei Borodin", "Patrik L. Ferrari", "Michael Praehofer", "Tomohiro Sasamoto", "Jon Warren" ], "comment": "10 pages", "journal": "Electron. Comm. Probab. 14 (2009), 486-494", "categories": [ "math.PR", "math-ph", "math.MP" ], "abstract": "We prove an equality-in-law relating the maximum of GUE Dyson's Brownian motion and the non-colliding systems with a wall. This generalizes the well known relation between the maximum of a Brownian motion and a reflected Brownian motion.", "revisions": [ { "version": "v1", "updated": "2009-05-25T15:42:21.000Z" } ], "analyses": { "keywords": [ "dyson brownian motion", "non-colliding systems", "gue dysons brownian motion", "reflected brownian motion", "generalizes" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0905.3989B" } } }