Flux through a Markov chain |
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| Affiliation: | 1. Aix-Marseille Université, CNRS, CPT, UMR 7332, 13288 Marseille, France;2. Université de Toulon, CNRS, CPT, UMR 7332, 83957 La Garde, France;3. Dream & Science Factory, Marseille, France;4. Institute for Complexity Sciences (ICC), Lisbon, Portugal;5. Laboratoire de Physique Théorique, Faculté des Sciences Exactes, Université A. Mira, campus Targa Ouzemmour, Béjaia, Algeria;6. Aix-Marseille Université, TAGC, Marseille F-13009, France;7. INSERM UMR S1090, Marseille F-13009, France |
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| 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. |
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