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2014 A short proof of a symmetry identity for the $q$-Hahn distribution
Guillaume Barraquand
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Electron. Commun. Probab. 19: 1-3 (2014). DOI: 10.1214/ECP.v19-3674

Abstract

We give a short and elementary proof of a symmetry identity for the $q$-moments of the $q$-Hahn distribution arising in the study of the $q$-Hahn Boson process and the $q$-Hahn TASEP. This identity discovered by Corwin in "The q-Hahn Boson Process and q-Hahn TASEP", Int. Math. Res. Not., 2014, was a key technical step to prove an intertwining relation between the Markov transition matrices of these two classes of discrete-time Markov chains. This was used in turn to derive exact formulas for a large class of observables of both these processes.

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Guillaume Barraquand. "A short proof of a symmetry identity for the $q$-Hahn distribution." Electron. Commun. Probab. 19 1 - 3, 2014. https://doi.org/10.1214/ECP.v19-3674

Information

Accepted: 2 August 2014; Published: 2014
First available in Project Euclid: 7 June 2016

zbMATH: 1337.60168
MathSciNet: MR3246969
Digital Object Identifier: 10.1214/ECP.v19-3674

Subjects:
Primary: 60J10
Secondary: ‎33D45

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