在批判性的波茨模型中漫步

IF 2 3区数学 Q1 MATHEMATICS

Bulletin of the American Mathematical Society Pub Date : 2023-08-02 DOI:10.1090/bull/1802

Martin Hairer

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引用次数: 0

摘要

在过去十年左右的时间里，由H. dumini - copin和他的合作者牵头的一个广泛的研究项目极大地增加了我们对一些临界或接近临界的统计力学模型的理解。最突出的是，这些模型包括q q状态波茨模型和本质上等同的FK集群模型。在这篇简短的综述中，我们介绍了这一研究领域最近的一小部分结果。

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A stroll around the critical Potts model

Over the past decade or so, a broad research programme spearheaded by H. Duminil-Copin and his collaborators has vastly increased our understanding of a number of critical or near-critical statistical mechanics models. Most prominently, these include the q q -state Potts models and, essentially equivalently, the FK cluster models. In this short review, we present a small selection of recent results from this research area.

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来源期刊

Bulletin of the American Mathematical Society 数学-数学

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.