Dynamic ASEP, Duality, and Continuous q[superscript -1]-Hermite Polynomials
Author(s)Borodin, Alexei; Corwin, Ivan
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
International Mathematics Research Notices
Oxford University Press (OUP)
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