Work

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

Year: 2018

Type: preprint

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.

Source: DSpace@MIT (Massachusetts Institute of Technology)

Authors: Borodin, Alexei, Corwin, Ivan

Institutions: Massachusetts Institute of Technology, Columbia University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Integrable Probability, Growth of random surfaces, FRG: Collaborative Research: Integrable Probability

OpenAlex ID: W2964007555

Cites: 32

Cited by: 10

Related to: 10