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

Marco Furlan; Jean Christophe Mourrat

doi:10.1214/17-EJP121

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

Marco Furlan, Jean Christophe Mourrat

Mathematics

Research output: Contribution to journal › Article › peer-review

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].

Original language	English (US)
Article number	97
Journal	Electronic Journal of Probability
Volume	22
DOIs	https://doi.org/10.1214/17-EJP121
State	Published - 2017

Keywords

Ising model
Local besov spaces
Tightness criterion

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1214/17-EJP121

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abstract = "We present a criterion for a family of random distributions to be tight in local H{\"o}lder 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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A tightness criterion for random fields, with application to the Ising model

Abstract

Keywords

ASJC Scopus subject areas

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