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Article Dans Une Revue Chaos, Solitons & Fractals Année : 2016

Flux through a Markov chain

Résumé

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.
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Dates et versions

hal-01406815 , version 1 (01-12-2016)

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Elena Floriani, Ricardo Lima, Ouerdia Ourrad, Lionel Spinelli. Flux through a Markov chain. Chaos, Solitons & Fractals, 2016, 93, pp.136 - 146. ⟨10.1016/j.chaos.2016.10.006⟩. ⟨hal-01406815⟩
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