4 papers
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…
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…
Colorful Helly via induced matchings
Cosmin Pohoata, Kevin Yang, Shengtong Zhang
We establish a theorem regarding the maximum size of an {\it{induced}} matching in the bipartite complement of the incidence graph of a set system . We show that t…
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…