Abstract
The analyticity of all strata of the Pirogov-Sinai phase diagram is proved. As a byproduct of the method, a characterization of typical volumes for which the complex partition function vanishes is given, for a Hamiltonian that is a perturbation of the real-valued one, near the point of a phase transition.
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Zahradník, M. Analyticity of low-temperature phase diagrams of lattice spin models. J Stat Phys 47, 725–755 (1987). https://doi.org/10.1007/BF01206155
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DOI: https://doi.org/10.1007/BF01206155