We show that the Kolmogorov distance allows to quantify memory effects in classical stochastic processes by studying the evolution of the singletime 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.
Signatures of non-Markovianity in classical single-time probability distributions / A. Smirne, A. Stabile, B. Vacchini. - In: PHYSICA SCRIPTA. - ISSN 0031-8949. - T153:153(2013), pp. 014057.1-014057.5. ((Intervento presentato al 2012. convegno Central European Workshop on Quantum Optics tenutosi a Sinaia nel 19 [10.1088/0031-8949/2013/T153/014057].
Signatures of non-Markovianity in classical single-time probability distributions
A. SmirnePrimo
;A. StabileSecondo
;B. VacchiniUltimo
2013
Abstract
We show that the Kolmogorov distance allows to quantify memory effects in classical stochastic processes by studying the evolution of the singletime 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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