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We summarize how to obtain rough bounds for one version of the emptinessformation probability in the 2d dimer model. The methods we use are the same ashave been developed to obtain EFP bounds in the 1d XXZ model in a paper withCrawford, Ng and one of the authors. A main tool is reflection positivity forthe basic dimer model, as proved by Heilmann and Lieb. We also state thecorollary for a 1d quantum spin system which Suzuki showed is related to the 2dIsing model.

Rough Bounds for Emptiness Formation Probability in the 2d Dimer model using Reflection Positivity