{ "id": "1306.0659", "version": "v1", "published": "2013-06-04T05:51:39.000Z", "updated": "2013-06-04T05:51:39.000Z", "title": "Observables of Macdonald processes", "authors": [ "Alexei Borodin", "Ivan Corwin", "Vadim Gorin", "Shamil Shakirov" ], "comment": "36 pages, 1 figure", "categories": [ "math.PR", "math-ph", "math.CO", "math.MP", "math.QA" ], "abstract": "We present a framework for computing averages of various observables of Macdonald processes. This leads to new contour--integral formulas for averages of a large class of multilevel observables, as well as Fredholm determinants for averages of two different single level observables.", "revisions": [ { "version": "v1", "updated": "2013-06-04T05:51:39.000Z" } ], "analyses": { "keywords": [ "macdonald processes", "single level observables", "fredholm determinants", "contour-integral formulas", "multilevel observables" ], "note": { "typesetting": "TeX", "pages": 36, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1306.0659B" } } }