A note on specifications

DOI10.1007/BF00535686zbMath0405.60089MaRDI QIDQ4191409

Sheldon Goldstein

Publication date: 1978

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

SpecificationRandom FieldConsistent Family of Conditional ProbabilitiesGibBsian Random Fields

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35)

Related Items (11)

Decimations for two-dimensional Ising and rotator models ⋮ Description of random fields by systems of conditional distributions ⋮ Randomization in the construction of multidimensional martingales ⋮ On the DLR equation for the \((\lambda:\phi^ 4: +b:\phi^ 2:+\mu\phi\), \(\mu\neq 0)_ 2\) Euclidean quantum field theory: The uniqueness theorem ⋮ Global specifications and nonquasilocality of projections of Gibbs measures ⋮ Almost Gibbsianness and parsimonious description of the decimated 2d-Ising model ⋮ Gibbsian representations of continuous specifications: the theorems of Kozlov and Sullivan revisited ⋮ Decimation of the Dyson-Ising ferromagnet ⋮ Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory ⋮ Entropic repulsion and lack of the \(g\)-measure property for Dyson models ⋮ Existence of compatible families of proper regular conditional probabilities

Cites Work

• Random fields
• Potentials for almost Markovian random fields
• Description of Markovian Random Fields by Gibbsian Conditional Probabilities
• Gibbsian Description of Point Random Fields
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