Dynamic ASEP, Duality, and Continuous q[superscript -1]-Hermite Polynomials
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 continuo...
| Main Authors: | , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Oxford University Press (OUP)
2020
|
| Online Access: | https://hdl.handle.net/1721.1/123500 |
| Summary: | 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. |
|---|