A tightness criterion for random fields, with application to the Ising model
Probability
2018-01-29 v3
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.
Keywords
Cite
@article{arxiv.1502.07335,
title = {A tightness criterion for random fields, with application to the Ising model},
author = {Marco Furlan and Jean-Christophe Mourrat},
journal= {arXiv preprint arXiv:1502.07335},
year = {2018}
}
Comments
28 pages. EJP version