Markov interaction processes and neuronal activity

  • V. I. Kryukov
Part II
Part of the Lecture Notes in Mathematics book series (LNM, volume 653)


A class of Markov processes with local interaction is derived from physiologically reasonable assumptions. The characteristic operator of these processes is expressed in terms of moving boundary passage problem. An invariant distribution is calculated for one subclass (including time-reversible processes) and a possible application of the theory to the statistical analysis of firing times of interdependent neurons is indicated.


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Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • V. I. Kryukov
    • 1
  1. 1.Research Computing CentreAcad.Sci. USSRPushchino

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