A note on the projection of Gibbs measures

DOI10.1007/BF02179465zbMath0837.60085OpenAlexW1987486446MaRDI QIDQ1906443

Koen Vande Velde, József Lörinczi

Publication date: 18 March 1996

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02179465

zbMATH Keywords

Gibbs measuresnon-Gibbsian measuresdecimation transformationprojected measures

Mathematics Subject Classification ID

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

Related Items (9)

Global specifications and nonquasilocality of projections of Gibbs measures ⋮ One-sided continuity properties for the schonmann projection ⋮ Renormalizing the renormalization group pathologies ⋮ 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. ⋮ Pathological behavior of renormalization-group maps at high fields and above the transition temperature. ⋮ Ill-defined block-spin transformations at arbitrarily high temperatures. ⋮ Almost sure quasilocality fails for the random-cluster model on a tree.

Cites Work

• Projections of Gibbs measures may be non-Gibbsian
• Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
• Some remarks on pathologies of renormalization-group transformations for the Ising model

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