# Approximate domain Markov property for rigid Ising interfaces

@article{Gheissari2020ApproximateDM, title={Approximate domain Markov property for rigid Ising interfaces}, author={Reza Gheissari and Eyal Lubetzky}, journal={arXiv: Probability}, year={2020} }

Consider the Ising model on a centered box of side length $n$ in $\mathbb Z^d$ with $\mp$-boundary conditions that are minus in the upper half-space and plus in the lower half-space. Dobrushin famously showed that in dimensions $d\ge 3$, at low-temperatures the Ising interface (dual-surface separating the plus/minus phases) is rigid, i.e., it has $O(1)$ height fluctuations. Recently, the authors decomposed these oscillations into pillars and identified their typical shape, leading to a law of… Expand

#### One Citation

Delocalisation and absolute-value-FKG in the solid-on-solid model

- Mathematics, Physics
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The solid-on-solid model is a model of height functions, introduced to study the interface separating the + and − phase in the Ising model. The planar solidon-solid model thus corresponds to the… Expand

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