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Zbl 0875.35080
McCoy, Barry M.
Spin systems, statistical mechanics and Painlevé functions. (English)
[A] Levi, Decio (ed.) et al., Painlevé transcendents: their asymptotics and physical applications. Proceedings of the NATO Advanced Research Workshop, Sainte-Adèle, Canada, September 3-7, 1990. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 278, 377-391 (1992). ISBN 0-306-44050-4/hbk

Summary: We review the role of Painlevé functions in the theory of the Ising model and discuss the prospect of extending these results to the other solvable statistical mechanical models related to conformal field theory.

MSC 2000:: *35Q40 PDE from quantum mechanics
82B20 Lattice systems
81T25 Quantum field theory on lattices

Keywords: Painlevé functions; Ising model; solvable statistical mechanical models

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