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Random Fields And Spatial Renewal Potentials

  • Conference paper
Disordered Systems and Biological Organization

Part of the book series: NATO ASI Series ((NATO ASI F,volume 20))

Abstract

By using an approach similar to that used for Markov random fields, we propose a spatial version of renewal processes, generalizing the usual notion in dimension 1. We characterize the potentials of such renewal random fields and we give a theorem about the presence of phase transition. Finally, we study the problem of the sampling of renewal fields by means of a random automaton, we show simulations and discuss the stopping rules of the process of sampling.

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References

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Author information

Authors and Affiliations

  1. IMAG — TIM3, BP 68, 38402, ST Martin D Heres Cedex, France

    J. Demongeot & J. Fricot

Authors
  1. J. Demongeot
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  2. J. Fricot
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Editor information

Editors and Affiliations

  1. Laboratoire de Neurobiologie du Développement, Université de Paris XI, 91405, Orsay, France

    E. Bienenstock

  2. Laboratoire de Dynamique des Reseaux, L.D.R. CESTA, 1, rue Descartes, 75005, Paris, France

    F. Fogelman Soulié

  3. Groupe de Physique des Solides, École Normale Supérieure, 24, rue Lhomond, 75231, Paris, France

    G. Weisbuch

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© 1986 Springer-Verlag Berlin Heidelberg

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Demongeot, J., Fricot, J. (1986). Random Fields And Spatial Renewal Potentials. In: Bienenstock, E., Soulié, F.F., Weisbuch, G. (eds) Disordered Systems and Biological Organization. NATO ASI Series, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82657-3_9

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  • DOI: https://doi.org/10.1007/978-3-642-82657-3_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82659-7

  • Online ISBN: 978-3-642-82657-3

  • eBook Packages: Springer Book Archive

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