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Consistent polygonal fields
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  • Published: September 1991

Consistent polygonal fields

  • T. Arak1 &
  • D. Surgailis2 

Probability Theory and Related Fields volume 89, pages 319–346 (1991)Cite this article

Summary

We extend our results [3] on the construction of polygonal Markov fields on the plane taking finite number of values and having a given symmetric Markov process η as the marginal process on each line, to the case when η is reversible.

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References

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Author information

Authors and Affiliations

  1. Mathematical Statistics Department, Chalmers University of Technology, S-41296, Gotheburg, Sweden

    T. Arak

  2. Institute of Mathematics and Informatics, Lithuanian Academy of Sciences, Akademijos 4, SU-232600, Vilnius, Lithuania

    D. Surgailis

Authors
  1. T. Arak
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  2. D. Surgailis
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Cite this article

Arak, T., Surgailis, D. Consistent polygonal fields. Probab. Th. Rel. Fields 89, 319–346 (1991). https://doi.org/10.1007/BF01198790

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  • Received: 06 December 1988

  • Revised: 04 February 1991

  • Issue Date: September 1991

  • DOI: https://doi.org/10.1007/BF01198790

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Keywords

  • Stochastic Process
  • Probability Theory
  • Finite Number
  • Markov Process
  • Mathematical Biology
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