Stochastic description of delayed systems

Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences
L F Lafuerza, R Toral

Abstract

We study general stochastic birth and death processes including delay. We develop several approaches for the analytical treatment of these non-Markovian systems, valid, not only for constant delays, but also for stochastic delays with arbitrary probability distributions. The interplay between stochasticity and delay and, in particular, the effects of delay in the fluctuations and time correlations are discussed.

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Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·L F Lafuerza, R Toral

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Citations

Aug 21, 2013·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Valentin FlunkertEckehard Schöll
Nov 14, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tobias Brett, Tobias Galla
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Marian BoguñáM Ángeles Serrano
Nov 7, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Thomas John McKetterick, Luca Giuggioli

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