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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.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.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…