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Non-Gibbsianness of the reduced SOS-measure

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Publication:1805745
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DOI10.1016/S0304-4149(97)00107-5zbMath0927.60079OpenAlexW2127118625MaRDI QIDQ1805745

József Lörinczi

Publication date: 18 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0304-4149(97)00107-5

zbMATH Keywords

relative entropy densityGibbs probability measurepair interaction model


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)




Cites Work

  • Unnamed Item
  • Non-Gibbsian limit for large-block majority-spin transformations
  • Gibbs measures and phase transitions
  • Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory
  • Combinatorial Problems Suggested by the Statistical Mechanics of Domains and of Rubber-Like Molecules
  • Robustness of the non-Gibbsian property: some examples
  • Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model
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