Almost Gibbsian versus weakly Gibbsian measures

DOI10.1016/S0304-4149(98)00083-0zbMath0963.60094OpenAlexW2034835815MaRDI QIDQ1593583

K. U. Leuven, Annelies Van Moffaert, Frank Redig, Christian Maes

Publication date: 17 January 2001

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0304-4149(98)00083-0

zbMATH Keywords

potentialspecificationweakly Gibbsian measurealmost Gibbsian measure

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• Renormalization group pathologies and the definition of Gibbs states
• Weakly Gibbsian measures for lattice spin systems
• The restriction of the Ising model to a layer
• Global specifications and nonquasilocality of projections of Gibbs measures
• Relative energies for non-Gibbsian states
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• Potentials for almost Markovian random fields
• Gibbsian description of `non-Gibbsian' fields
• Robustness of the non-Gibbsian property: some examples

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