Nonstandard conditions for the global Markov property for lattice fields

DOI10.1007/BF00047094zbMath0609.60100OpenAlexW2077950363MaRDI QIDQ1086921

Christoph W. Keßler

Publication date: 1986

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00047094

zbMATH Keywords

nonstandard analysisglobal Markov propertylattice fieldssufficient nonstandard conditions

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other applications of nonstandard models (economics, physics, etc.) (03H10)

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Cites Work

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• Gibbsian random fields for lattice systems with pairwise interactions.
• Remarks on the global Markov property
• The global Markov property for lattice systems
• Random fields
• A characterization of nonstandard liftings of measurable functions and stochastic processes
• The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
• Construction of quantum fields from Markoff fields
• Nonstandard Measure Theory and its Applications