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arXiv · 2512.17451

Equality of the critical inverse temperatures for the one- and two-sided Dyson models

Noam Berger·Anders Johansson·Anders Öberg
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Abstract

We prove that the critical inverse temperatures $β_c^{\mathbb N}(α)$ and $β_c^{\mathbb Z}(α)$ for the one- and two-sided Dyson models are the same when the power of the interaction strength $α$ satisfies $1<α<2$. We conjecture that this is true also in the remaining case of $α=2$.

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Noam Berger, Anders Johansson, Anders Öberg. 2026-08-25. Equality of the critical inverse temperatures for the one- and two-sided Dyson models. https://arxiv.org/abs/2512.17451

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