English

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

Quantum Physics 2013-07-23 v1

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.

Keywords

Cite

@article{arxiv.1211.5913,
  title  = {Signatures of non-Markovianity in classical single-time probability distributions},
  author = {Andrea Smirne and Alberto Stabile and Bassano Vacchini},
  journal= {arXiv preprint arXiv:1211.5913},
  year   = {2013}
}

Comments

8 pages, 2 figures, to appear in Physica Scripta T: Proceedings of 19th Central European Workshop on Quantum Optics (Romania, May 2012)