Dynamic ASEP, Duality, and Continuous q[superscript -1]-Hermite Polynomials
Name
1705.01980.pdf
Description
Submitted version
Size
300.28 KB
Format
Adobe PDF
Checksum (MD5)
5fed914eacbbe9719f6bd46a591fb98d
Author(s)
Borodin, Alexei
Corwin, Ivan
Date Issued
January 2018
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1093/imrn/rnx299
