654 citations · 2.4k across the 65 of their papers we have counts for
4 papers · 2 filters
Facilitated exclusion process
Jinho Baik, Guillaume Barraquand, Ivan Corwin +1
We study the Facilitated TASEP, an interacting particle system on the one dimensional integer lattice. We prove that starting from step initial condition, the position of the right…
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…
Stochastic six-vertex model in a half-quadrant and half-line open ASEP
Guillaume Barraquand, Alexei Borodin, Ivan Corwin +1
We consider the asymmetric simple exclusion process (ASEP) on the positive integers with an open boundary condition. We show that, when starting devoid of particles and for a certa…
Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles
Ivan Corwin, Evgeni Dimitrov
We consider the ASEP and the stochastic six vertex model started with step initial data. After a long time, , it is known that the one-point height function fluctuations for the…