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When Markov chains meet: A continuous-time model of network evolution

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  • Gilboa-Freedman, Gail
  • Hassin, Refael

Abstract

We suggest a novel approach to model continuous time processes of the interactions of independent elements. The model assumes a finite number of independent Markov chains, each representing an element. Chains move among a common space of states. Sometimes chains intersect, being in the same state at the same time. These intersections relate the chains with each other and imply many interesting processes.

Suggested Citation

  • Gilboa-Freedman, Gail & Hassin, Refael, 2016. "When Markov chains meet: A continuous-time model of network evolution," Statistics & Probability Letters, Elsevier, vol. 116(C), pages 131-138.
    • Handle: RePEc:eee:stapro:v:116:y:2016:i:c:p:131-138
    DOI: 10.1016/j.spl.2016.03.006
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    References listed on IDEAS

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    1. Bernardo A. Huberman & Lada A. Adamic, 1999. "Growth dynamics of the World-Wide Web," Nature, Nature, vol. 401(6749), pages 131-131, September.
    2. José M. Montoya & Stuart L. Pimm & Ricard V. Solé, 2006. "Ecological networks and their fragility," Nature, Nature, vol. 442(7100), pages 259-264, July.
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