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A tightness criterion for random fields, with application to the Ising model
classification
🧮 math.PR
keywords
criterionisingmodelrandomansweringapplicationapplybesov
read the original abstract
We present a criterion for a family of random distributions to be tight in local H\"older and Besov spaces of possibly negative regularity. We then apply this criterion to the magnetization field of the two-dimensional Ising model at criticality, answering a question of Camia, Garban and Newman.
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