3 papers
math.PR2026
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…
math.PR2025
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…
math.PR2024
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…