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math.PR2025
KPZ equation from open ASEP with general boundary asymmetry
Kevin Yang
We consider generalizations of open ASEP in the interval and half-space, where the speed of the reservoir dynamics can depend on the local particle configuration. We show that thei…
math.PR2025
KPZ equation from a class of nonlinear SPDEs in infinite volume
Kevin Yang
We study a general class of nonlinear Ginzburg-Landau SPDEs in infinite volume under weak nonlinearity scaling and with non-equilibrium initial data. We derive the KPZ equation as…
math.PR2024
KPZ equation from ASEP plus general speed-change drift
Kevin Yang
We derive the KPZ equation as a continuum limit of height functions in asymmetric simple exclusion processes with drift that depends on the local particle configuration. To our kno…