Signatures of non-Markovianity in classical single-time probability distributions

preprint2012arXivOpen access

Abstract

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.

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