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Uniqueness of one-dimensional continuum Gibbs states

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Publication:1062689
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DOI10.1007/BF01221220zbMath0573.60093MaRDI QIDQ1062689

David Klein

Publication date: 1985

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


zbMATH Keywords

Gibbs measureshard-core potentialscontinuum grandcanonical Gibbs statesfinite range superstable many-body potentials


Mathematics Subject Classification ID

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


Related Items (3)

Uniqueness of continuum one-dimensional Gibbs states for slowly decaying interactions ⋮ A class of continuum models with no phase transitions ⋮ Surface energy and boundary layers for a chain of atoms at low temperature



Cites Work

  • Convergence of grand canonical Gibbs measures
  • Analyticity for one-dimensional systems with long-range superstable interactions
  • Dobrushin uniqueness techniques and the decay of correlations in continuum statistical mechanics
  • Random fields
  • Random point processes and DLR equations
  • Superstable interactions in classical statistical mechanics


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