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2017 A tightness criterion for random fields, with application to the Ising model
Marco Furlan, Jean-Christophe Mourrat
Electron. J. Probab. 22: 1-29 (2017). DOI: 10.1214/17-EJP121

Abstract

We present a criterion for a family of random distributions to be tight in local Hölder and Besov spaces of possibly negative regularity on general domains. We then apply this criterion to find the sharp regularity of the magnetization field of the two-dimensional Ising model at criticality, answering a question of [8].

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Marco Furlan. Jean-Christophe Mourrat. "A tightness criterion for random fields, with application to the Ising model." Electron. J. Probab. 22 1 - 29, 2017. https://doi.org/10.1214/17-EJP121

Information

Received: 2 November 2016; Accepted: 25 October 2017; Published: 2017
First available in Project Euclid: 16 November 2017

zbMATH: 1378.60065
MathSciNet: MR3724565
Digital Object Identifier: 10.1214/17-EJP121

Subjects:
Primary: 60F17, 60G60, 82B20

JOURNAL ARTICLE
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Vol.22 • 2017
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