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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.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…
math.PR2024
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…