Observables of Macdonald processes

2015/06/18 by Alexei Borodin, Ivan Corwin, Vadim Gorin +1 · 1 citation
Mathematics · #Random Matrices and Applications #Algebraic structures and combinatorial models #Advanced Combinatorial Mathematics

paper · pdf · doi:10.1090/tran/6359

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.

Cited by

• Lectures on Integrable probability: Stochastic vertex models and symmetric functions
• Law of Large Numbers for Infinite Random Matrices over a Finite Field

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