Genesis of Markov Chains by Circuits: The Circuit Chains

  • Sophia L. Kalpazidou
Part of the Stochastic Modeling and Applied Probability book series (SMAP, volume 28)


In this chapter we shall show how Markovian dependence can arise from at most countable collections of overlapping weighted directed circuits. The corresponding processes are Markov chains, that is, discrete parameter Markov processes which, generated by circuits, will be called circuit chains.


Markov Chain Nonnegative Matrice Forward Passage Finite Markov Chain Reversible Markov Chain 
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Copyright information

© Springer Science+Business Media New York 1995

Authors and Affiliations

  • Sophia L. Kalpazidou
    • 1
  1. 1.Department of MathematicsAristotle University of ThessalonikiThessalonikiGreece

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