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arXiv · 1502.07335

A tightness criterion for random fields, with application to the Ising model

Marco Furlan·Jean-Christophe Mourrat
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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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Marco Furlan, Jean-Christophe Mourrat. 2015-02-25. A tightness criterion for random fields, with application to the Ising model. https://doi.org/10.1214/17-ejp121

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