Work

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

Year: 2017

Type: article

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].

Source: Electronic Journal of Probability

DOI: 10.1214/17-ejp121

Authors: Marco Furlan, Jean-Christophe Mourrat

Institutions: Université Paris Dauphine-PSL, École Normale Supérieure de Lyon, Centre National de la Recherche Scientifique

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $675

OpenAlex ID: W2547044658