Some remarks on the location of zeroes of the partition function for lattice systems

DOI10.1007/BF01646488zbMath1125.82311MaRDI QIDQ2465592

David Pierre Ruelle

Publication date: 6 January 2008

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

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

• The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
• Theory of monomer-dimer systems
• Theorems on the Partition Functions of the Heisenberg Ferromagnets
• Über die Vollständigkeit lorentzinvarianter Felder in einer zeitartigen Röhre
• Statistical Theory of Equations of State and Phase Transitions. I. Theory of Condensation
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model