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arXiv 1502.07335math.PR
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随机场的紧性准则及其在Ising模型中的应用

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

Marco Furlan, Jean-Christophe Mourrat

摘要:

本文给出了一类广义过程在可能负正则的局部Hölder和Besov空间中是紧的准则。然后,我们将此标准的磁化场的二维伊辛模型在临界状态,回答了卡米亚,加尔班和纽曼的问题。

英文摘要:

We present a criterion for a family of random distributions to be tight in local Hölder 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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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