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Flux through a Markov chain

Author

Listed:
  • Floriani, Elena
  • Lima, Ricardo
  • Ourrad, Ouerdia
  • Spinelli, Lionel

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.

Suggested Citation

  • Floriani, Elena & Lima, Ricardo & Ourrad, Ouerdia & Spinelli, Lionel, 2016. "Flux through a Markov chain," Chaos, Solitons & Fractals, Elsevier, vol. 93(C), pages 136-146.
    • Handle: RePEc:eee:chsofr:v:93:y:2016:i:c:p:136-146
    DOI: 10.1016/j.chaos.2016.10.006
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    References listed on IDEAS

    as
    1. Claudine Chaouiya & Ouerdia Ourrad & Ricardo Lima, 2013. "Majority Rules with Random Tie-Breaking in Boolean Gene Regulatory Networks," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-14, July.
    2. Sven Banischa & Ricardo Lima & Tanya Araújo, 2012. "Agent based models and opinion dynamics as markov chains," Working Papers Department of Economics 2012/10, ISEG - Lisbon School of Economics and Management, Department of Economics, Universidade de Lisboa.
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