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A short proof of a symmetry identity for the $q$-Hahn distribution


 
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1. Title Title of document A short proof of a symmetry identity for the $q$-Hahn distribution
 
2. Creator Author's name, affiliation, country Guillaume Barraquand; Université Paris Diderot; France
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) q-Hahn process, Markov duality
 
3. Subject Subject classification 60J10;33D45
 
4. Description 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.
 
5. Publisher Organizing agency, location
 
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7. Date (YYYY-MM-DD) 2014-08-02
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ecp.ejpecp.org/article/view/3674
 
10. Identifier Digital Object Identifier 10.1214/ECP.v19-3674
 
11. Source Journal/conference title; vol., no. (year) Electronic Communications in Probability; Vol 19
 
12. Language English=en en
 
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