Observables of Macdonald processes

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Transactions of the American Mathematical Society 2016-03, Vol.368 (3), p.1517-1558
Hauptverfasser:	Borodin, Alexei, Corwin, Ivan, Gorin, Vadim, Shakirov, Shamil
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	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.
ISSN:	0002-9947 1088-6850
DOI:	10.1090/tran/6359