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19982023
most citedFluctuation properties of the TASEP with periodic initial configuration

271 citations · 682 across the 21 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

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.PR2017

Inhomogeneous exponential jump model

Alexei Borodin, Leonid Petrov

We introduce and study the inhomogeneous exponential jump model - an integrable stochastic interacting particle system on the continuous half line evolving in continuous time. An i…

math.CO2017

Spin -Whittaker polynomials

Alexei Borodin, Michael Wheeler

We introduce and study a one-parameter generalization of the q-Whittaker symmetric functions. This is a family of multivariate symmetric polynomials, whose construction may be view…