Let h ( t , x → → ) denote a height function of some probabilistic model with ( t , x → → ) ∈ ∈ R × × R d denoting space-time. So far only the case for d = 1 , also noted as ( 1 + 1 ) , was deeply studied, therefore we fix this dimension for the rest of the article. In the KPZ universality class exist two equilibrium points or fixed points, the trivial Edwards-Wilkinson (EW) fixed point and the non-trivial KPZ fixed point. The KPZ equation connects them together.