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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
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★ 2 cited
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…