The Dobrushin-Shlosman phase uniqueness criterion and applications to hard squares

DOI10.1007/BF01009964zbMath0960.82500MaRDI QIDQ1907322

Daniel F. Styer, Dan-Constantin Rǎdulescu

Publication date: 21 February 1996

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

zbMATH Keywords

linear programminghard-square modelDobrushin-Shlosman phase uniqueness criterionRigorous statistical mechanics

Mathematics Subject Classification ID

Related Items (8)

Fast convergence of the Glauber dynamics for sampling independent sets ⋮ Improved mixing condition on the grid for counting and sampling independent sets ⋮ Dense packing on uniform lattices ⋮ Some rigorous results on majority rule renormalization group transformations near the critical point ⋮ Phase Coexistence for the Hard-Core Model on ℤ² ⋮ Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem ⋮ Percolation and the hard-core lattice gas model ⋮ Uniform Sampling of Subshifts of Finite Type on Grids and Trees

Cites Work

• Unnamed Item
• The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
• Prescribing a System of Random Variables by Conditional Distributions

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