Instability of renormalization-group pathologies under decimation.

DOI10.1007/BF02179382zbMath1081.82554OpenAlexW1971649436MaRDI QIDQ1593224

Enzo Olivieri, Fabio Martinelli

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02179382

zbMATH Keywords

Ising modelnon-GibbsiannessdecimationRenormalization group

Mathematics Subject Classification ID

Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (8)

Renormalizing the renormalization group pathologies ⋮ Absence of renormalization group pathologies near the critical temperature. Two examples ⋮ Renormalization group at criticality and complete analyticity of constrained models: A numerical study ⋮ Renormalization group transformations near the critical point: Some rigorous results ⋮ Graded cluster expansion for lattice systems ⋮ Pathological behavior of renormalization-group maps at high fields and above the transition temperature. ⋮ Ill-defined block-spin transformations at arbitrarily high temperatures. ⋮ A cluster expansion approach to renormalization group transformations

Cites Work

• Dynamical analysis of low-temperature Monte Carlo cluster algorithms
• For 2-D lattice spin systems weak mixing implies strong mixing
• Some numerical results on the block spin transformation for the 2D Ising model at the critical point.
• 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
• A particle system with massive destruction

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