Corpus ID: 224802922

# 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}
}
• Published 2020
• Mathematics, Physics
• arXiv: Probability
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
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