  Complex Langevin dynamics can be used to perform numerical simulations of
theories with a complex action. In order to justify the procedure, it is
important to understand the properties of the real and positive distribution,
which is effectively sampled during the stochastic process. In the context of a
simple model, we study this distribution and relate the results to the recently
derived criteria for correctness. We demonstrate analytically that if the
distribution has support only on a strip in the complexified configuration
space, correct results are expected.
