Signatures of non-Markovianity in classical single-time probability   distributions
  We show that the Kolmogorov distance allows to quantify memory effects in classical stochastic processes by studying the evolution of the single-time probability distribution. We further investigate the relation between the Kolmogorov distance and other sufficient but not necessary signatures of non-Markovianity within the classical setting. 
Andrea Smirne, Alberto Stabile and Bassano Vacchini
quant-ph