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Examples of extremal lattice fields without the global Markov property

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Publication:1075702
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DOI10.2977/prims/1195178936zbMath0592.60091OpenAlexW2008796122MaRDI QIDQ1075702

Christoph W. Keßler

Publication date: 1985

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195178936

zbMATH Keywords

translation invariantglobal Markov propertybounded interactionextremal Gibbs state on a lattice system


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)


Related Items

Uniqueness and global Markov property for Euclidean fields: The case of general polynomial interactions, Marginal dynamics of interacting diffusions on unimodular Galton-Watson trees, The allure of infinitesimals: Sergio Albeverio and nonstandard analysis, Existence of the transfer matrix formalism for a class of classical continuous gases



Cites Work

  • A remark on the global Markov property for the d-dimensional Ising model
  • Gibbsian random fields for lattice systems with pairwise interactions.
  • Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
  • The global Markov property for lattice systems
  • Random fields
  • Construction of quantum fields from Markoff fields
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