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1 CPT - Centre de Physique Théorique - UMR 7332 2 CPT - E8 Dynamique non linéaire CPT - Centre de Physique Théorique - UMR 7332 3 ICC - Institute for Complexity Sciences 4 Laboratory of Theoretical Physics, Faculty of Exact sciences, University of Bejaia, 06000, Bejaia, Algeria 5 TAGC - Technologies avancées pour le génôme et la clinique

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.

Author: Elena Floriani - Ricardo Lima - Ouerdia Ourrad - Lionel Spinelli -

Source: https://hal.archives-ouvertes.fr/


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