3 papers
math.PR2017
Dynamic ASEP, duality and continuous -Hermite polynomials
Alexei Borodin, Ivan Corwin
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 introdu…
math.PR2016
Kardar-Parisi-Zhang Universality
Ivan Corwin
This is the article by the same name which was published in the March 2016 issue of the AMS Notices. Due to space constraints, some references contained here were not provided in t…
math.PR2012
Two ways to solve ASEP
Ivan Corwin
The purpose of this article is to describe the two approaches to compute exact formulas (which are amenable to asymptotic analysis) for the probability distribution of the current…