Characterization of Lee-Yang polynomials

DOI10.4007/annals.2010.171.589zbMath1251.30005arXiv0811.1327OpenAlexW2963409766MaRDI QIDQ974051

David Pierre Ruelle

Publication date: 27 May 2010

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.1327

zbMATH Keywords

Lee-Yang circle theoremLee-Yang polynomials

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) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Real polynomials: location of zeros (26C10)

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Cites Work

• Unnamed Item
• On complex Lee and Yang polynomials
• The Lee--Yang and Pólya--Schur programs. I: Linear operators preserving stability
• Theorems on the Partition Functions of the Heisenberg Ferromagnets
• The Lee‐Yang and Pólya‐Schur programs. II. Theory of stable polynomials and applications
• Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model

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