34 citations · 36 across the 4 of their papers we have counts for
5 papers
Periodic directed landscape
Amol Aggarwal, Ivan Corwin, Dominik Schmid
We construct the periodic directed landscape, which is the conjectured scaling limit for periodic models in the Kardar-Parisi-Zhang universality class. We establish the convergence…
KPZ fixed point convergence of the ASEP and stochastic six-vertex models
Amol Aggarwal, Ivan Corwin, Milind Hegde
We consider the stochastic six-vertex (S6V) model and asymmetric simple exclusion process (ASEP) under general initial conditions which are bounded below lines of arbitrary slope a…
Periodic Pitman transforms and jointly invariant measures
Ivan Corwin, Yu Gu, Evan Sorensen
We construct explicit jointly invariant measures for the periodic KPZ equation (and therefore also the stochastic Burgers' and stochastic heat equations) for general slope paramete…
Scaling limit of the colored ASEP and stochastic six-vertex models
Amol Aggarwal, Ivan Corwin, Milind Hegde
We consider the colored asymmetric simple exclusion process (ASEP) and stochastic six vertex (S6V) model with fully packed initial conditions; the states of these models can be enc…
Macdonald processes, quantum integrable systems and the Kardar-Parisi-Zhang universality class
Ivan Corwin
Integrable probability has emerged as an active area of research at the interface of probability/mathematical physics/statistical mechanics on the one hand, and representation theo…