Locally interacting systems and their application in biology : proceedings of the School-Seminar on Markov Interaction Processes in Biology, held in Pushchino, Moscow Region, March 1976

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Locally interacting systems and their application in biology : proceedings of the School-Seminar on Markov Interaction Processes in Biology, held in Pushchino, Moscow Region, March 1976

edited by R.L. Dobrushin, V.I. Kryukov, and A.L. Toom

(Lecture notes in mathematics, 653)

Springer-Verlag, 1978

  • : Berlin
  • : New York

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Includes bibliographical references and index

Description and Table of Contents

Table of Contents

Monotonic evolutions in real spaces.- Reliable storage of information in a system of unreliable components with local interactions.- On non-uniqueness in some homogeneous networks.- An algorithm-theoretic method in studying homogeneous random networks.- One - dimensional monotonic tesselations with memory.- Estimation of information capacity of Purkinje cells.- On some classes of Gibbsian random fields.- Bernoulli and Markov stationary measures in discrete local interactions.- Markov fields as invariant states for local processes.- Markov interaction processes and neuronal activity.- An estimate of the number of phases.- On walks over a partially ordered set (some inequalities for conditional probabilities).- One particle states and scattering theory for Markov processes.- A note on Gibbs representation.

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