Projections of Gibbs measures may be non-Gibbsian

DOI10.1007/BF01218465zbMath0682.60102OpenAlexW2024707827MaRDI QIDQ1824299

Roberto H. Schonmann

Publication date: 1989

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01218465

zbMATH Keywords

Gibbs measureferromagnetic Ising modelPercolationlarge deviation properties

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05) Percolation (82B43)

Related Items (14)

THE CONTINUOUS SPIN RANDOM FIELD MODEL: FERROMAGNETIC ORDERING IN d≥3 ⋮ A note on the projection of Gibbs measures ⋮ Global specifications and nonquasilocality of projections of Gibbs measures ⋮ Almost Gibbsianness and parsimonious description of the decimated 2d-Ising model ⋮ Two connections between random systems and non-Gibbsian measures ⋮ Gibbsian and non‐Gibbsian states at Eurandom ⋮ One-sided continuity properties for the schonmann projection ⋮ One-Sided Versus Two-Sided Stochastic Descriptions ⋮ Renormalizing the renormalization group pathologies ⋮ Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory ⋮ Weakly Gibbsian measures for lattice spin systems ⋮ Renormalization group at criticality and complete analyticity of constrained models: A numerical study ⋮ Some numerical results on the block spin transformation for the 2D Ising model at the critical point. ⋮ Almost sure quasilocality fails for the random-cluster model on a tree.

Cites Work

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• Large deviations for the empirical field of a Gibbs measure
• Existence of phase transitions for long-range interactions
• Pseudo free energies and large deviations for non Gibbsian FKG measures
• Exponential decay of connectivities in the two-dimensional Ising model
• Potentials for almost Markovian random fields
• Non reversible stationary measures for infinite interacting particle systems
• Large deviations for Gibbs random fields

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