Lee-Yang problems and the geometry of multivariate polynomials
DOI10.1007/s11005-008-0271-6zbMath1478.47028arXiv0810.1007OpenAlexW3101232030MaRDI QIDQ1035771
Publication date: 4 November 2009
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0810.1007
phase transitionslinear operatorsgraph polynomialsapolaritystable polynomialsPólya-Schur theoryLee-Yang theory
Exact enumeration problems, generating functions (05A15) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) 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) Linear operators on function spaces (general) (47B38) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Zero sets of holomorphic functions of several complex variables (32A60)
Related Items (3)
Cites Work
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- Homogeneous multivariate polynomials with the half-plane property
- Theory of monomer-dimer systems
- Theorems on the Partition Functions of the Heisenberg Ferromagnets
- 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
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