Title: Pirogov-Sinai Theory
Abstract: Pirogov-Sinai theory is a generalisation of the Peierls argument to classical spin models with non-symmetric interaction. I will first recall the Peierls argument and then consider the inhomogeneous Potts model with nearest-neighbour interaction. Pirogov-Sinai theory proves that for low temperatures the phase diagram is a perturbation of the ground-state diagram. This is a complete description of the translation-invariant states. The proof is complicated and I can only give a very crude description of it.
Talk – Video
Talk – Slides
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Last Updated: 28th July 2021 by Denjoe O'Connor
Tony Dorlas (DIAS)
Title: Pirogov-Sinai Theory
Abstract: Pirogov-Sinai theory is a generalisation of the Peierls argument to classical spin models with non-symmetric interaction. I will first recall the Peierls argument and then consider the inhomogeneous Potts model with nearest-neighbour interaction. Pirogov-Sinai theory proves that for low temperatures the phase diagram is a perturbation of the ground-state diagram. This is a complete description of the translation-invariant states. The proof is complicated and I can only give a very crude description of it.
Talk – Video
Talk – Slides
Category: Uncategorised
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