On bond anisotropy for the ising model through the geometry of numbers

René Rühr

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arXiv · 2404.00662

On bond anisotropy for the ising model through the geometry of numbers

René Rühr

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Abstract

We associate to each unit volume lattice of $\R^d$ the Ising model with bond variables equal to the inverse successive minima of that lattice. This induces the notion of a critical temperature for a random lattice for which integrability exponents are proven.

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René Rühr. 2024-03-31. On bond anisotropy for the ising model through the geometry of numbers. https://arxiv.org/abs/2404.00662

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