arXiv:1306.0659 Abstract | arXiv Analytics

arXiv:1306.0659 [math.PR]Abstract References Reviews Resources

Observables of Macdonald processes

Alexei Borodin, Ivan Corwin, Vadim Gorin, Shamil Shakirov

Published 2013-06-04Version 1

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.

Comments: 36 pages, 1 figure

Categories: math.PR, math-ph, math.CO, math.MP, math.QA

Keywords: macdonald processes, single level observables, fredholm determinants, contour-integral formulas, multilevel observables

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