Flux through a Markov chain

Elena Floriani, Ricardo Lima, Ouerdia Ourrad and Lionel Spinelli

Chaos, Solitons & Fractals, 2016, vol. 93, issue C, 136-146

Abstract: In this paper we study the flux through a finite Markov chain of a quantity, that we will call mass, which moves through the states of the chain according to the Markov transition probabilities. Mass is supplied by an external source and accumulates in the absorbing states of the chain. We believe that studying how this conserved quantity evolves through the transient (non-absorbing) states of the chain could be useful for the modelization of open systems whose dynamics has a Markov property.

Keywords: 40.03 dynamical systems; Open stochastic dynamical systems; 20.03 applications to other physics disciplines; 50.02 biological networks (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:93:y:2016:i:c:p:136-146

DOI: 10.1016/j.chaos.2016.10.006

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