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arXiv · 1501.00128

An exposition to information percolation for the Ising model

Eyal Lubetzky·Allan Sly
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Abstract

Information percolation is a new method for analyzing stochastic spin systems through classifying and controlling the clusters of information-flow in the space-time slab. It yielded sharp mixing estimates (cutoff with an $O(1)$-window) for the Ising model on $Z^d$ up to the critical temperature, as well as results on the effect of initial conditions on mixing. In this expository note we demonstrate the method on lattices (more generally, on any locally-finite transitive graph) at very high temperatures.

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Eyal Lubetzky, Allan Sly. 2014-12-31. An exposition to information percolation for the Ising model. https://arxiv.org/abs/1501.00128

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