We show that ungauged N = 2 supersymetric models can be put on the (hamiltonian) lattice in such a way as to preserve a subalgebra of supersymmetry large enough to ensure the existence of the Nicolai mapping. The models can be interpreted as stochastic systems described by Langevin equations. We describe both Wilson and Susskind versions of the model. In two dimensions everything seems fine, but in 4D, one expects, on general grounds, that the continuum limit will be either trivial or non-Lorentz invariant
