… Abstract: We study a general family of space–time discretizations of the KPZ equation and
show that they converge to its solution. The approach we follow makes use of basic elements …

… is the discrete forward difference and Dx,ε, ∆ε are discrete operators We set Pε to be the
space-time discrete … operators We set Pε to be the space-time discrete heat kernel and X , ε def …

… solutions to the KPZ equation. This is one of the rare discrete systems that behave well … to
the Gaussian structure given on the space of solutions by the linearised equation (ie, the one …

… the mollified KPZ equation, we show that the fluctuation of the mollified KPZ equation about
… Here we want to emphasize that [25] studied the fluctuation of the discrete directed polymer …

… reproducing their convergence result for the more general equation. In the second part of
the … the renormalised equation for the quasi-generalised KPZ equation with space-time white …

… us to take the KPZ scaling limit. For both the discrete time geometric and Bernoulli TASEPs,
we show that the distribution functions converge to the one describing the KPZ fixed point. …

… In this paper, we review our studies on the KPZ equation posed on a torus and discuss the
proofs of the CLTs for both the height function and the winding number of the related polymer …

… Both FPP and LPP models are expected to belong to the Kardar-Parisi-Zhang (KPZ) univer…
by solutions to a stochastic PDE known as the KPZ equation [Cor12, Cor16, HQ18]. For these (…

… The KPZ equation [40] is a stochastic partial differential equation describing the growth by
normal deposition of an interface in \((d+1)\) space dimensions, see eg [6, 14]. By definition …

… discrete variational formulation naturally leads to a consistent discretization of the KPZ
equation… another fundamental symmetry of the one-dimensional KPZ equation. It is clear that both …