The Diophantine moment problem and the analytic structure in the activity of the ferromagnetic Ising model

DOI10.1063/1.524121zbMath0454.44006OpenAlexW2021320126MaRDI QIDQ3901964

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Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524121

zbMATH Keywords

ferromagnetic Ising modelDiophantine moment problemtrigonometrical moment problem

Mathematics Subject Classification ID

Many-body theory; quantum Hall effect (81V70) Quantum equilibrium statistical mechanics (general) (82B10) Moment problems (44A60)

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A family of almost periodic Schrödinger operators ⋮ Mellin transforms associated with Julia sets and physical applications ⋮ Unnamed Item ⋮ Orthogonal polynomials on a family of Cantor sets and the problem of iterations of quadratic mappings ⋮ A general renormalization procedure on the one-dimensional lattice and decay of correlations ⋮ Orthogonality properties of iterated polynomial mappings ⋮ A first-order level-2 phase transition in thermodynamic formalism ⋮ On the invariant sets of a family of quadratic maps ⋮ Geometry, electrostatic measure and orthogonal polynomials on Julia sets for polynomials ⋮ Small polynomials with integer coefficients

Cites Work

• Some remarks on the location of zeroes of the partition function for lattice systems
• Best Error Bounds for Padé Approximants to Convergent Series of Stieltjes
• Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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