IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v93y2016icp136-146.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077916303009
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2016.10.006?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Grazzini, Jakob & Richiardi, Matteo, 2015. "Estimation of ergodic agent-based models by simulated minimum distance," Journal of Economic Dynamics and Control, Elsevier, vol. 51(C), pages 148-165.
    2. Jakob Grazzini & Matteo G. Richiardi, 2013. "Consistent Estimation of Agent-Based Models by Simulated Minimum Distance," LABORatorio R. Revelli Working Papers Series 130, LABORatorio R. Revelli, Centre for Employment Studies.
    3. Pedro J. Rivera Torres & E. I. Serrano Mercado & Luis Anido Rifón, 2018. "Probabilistic Boolean network modeling of an industrial machine," Journal of Intelligent Manufacturing, Springer, vol. 29(4), pages 875-890, April.
    4. Pedro J. Rivera Torres & Eileen I. Serrano Mercado & Orestes Llanes Santiago & Luis Anido Rifón, 2018. "Modeling preventive maintenance of manufacturing processes with probabilistic Boolean networks with interventions," Journal of Intelligent Manufacturing, Springer, vol. 29(8), pages 1941-1952, December.
    5. Araújo, Tanya & Fontainha, Elsa, 2017. "The specific shapes of gender imbalance in scientific authorships: A network approach," Journal of Informetrics, Elsevier, vol. 11(1), pages 88-102.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:93:y:2016:i:c:p:136-146. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.