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Dynamic ASEP, Duality, and Continuous q[superscript -1]-Hermite Polynomials

Author(s)
Borodin, Alexei; Corwin, Ivan
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Abstract
We demonstrate a Markov duality between the dynamic ASEP and the standard ASEP. We then apply this to step initial data, as well as a half-stationary initial data (which we introduce). While investigating the duality for half-stationary initial data, we uncover and utilize connections to continuous q[superscript -1]-Hermite polynomials. Finally, we introduce a family of stationary initial data which are related to the indeterminate moment problem associated with these q[superscript -1]-Hermite polynomials.
Date issued
2018-01
URI
https://hdl.handle.net/1721.1/123500
Department
Massachusetts Institute of Technology. Department of Mathematics
Journal
International Mathematics Research Notices
Publisher
Oxford University Press (OUP)
Citation
Borodin, Alexei and Ivan Corwin "Dynamic ASEP, Duality, and Continuous q−1-Hermite Polynomials." International Mathematics Research Notices (January 2018): rnx299 © The Author(s) 2018
Version: Original manuscript
ISSN
1073-7928
1687-0247

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