Gaussian free fields for mathematicians
Gaussian free fields for mathematicians
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DOI：
10.1007/s00440-006-0050-1
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发表时间：
2003-12
影响因子：
2
通讯作者：
S. Sheffield
中科院分区：
文献类型：
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作者：
S. Sheffield
三维高斯自由场，又称(欧几里得玻色子)无质量自由场，是布朗运动的ad-维-时间模拟。正如布朗运动是简单随机游走的极限(当时间和空间被适当缩放时)一样，GFF是许多增量变化的随机函数在维网格上的极限。根据GFF和Schramm-Loewner演化之间最近的联系，我们介绍了GFF的概述和一些有用的性质。
Thed-dimensional Gaussian free field (GFF), also called the (Euclidean bosonic) massless free field, is ad-dimensional-time analog of Brownian motion. Just as Brownian motion is the limit of the simple random walk (when time and space are appropriately scaled), the GFF is the limit of many incrementally varying random functions ond-dimensional grids. We present an overview of the GFF and some of the properties that are useful in light of recent connections between the GFF and the Schramm–Loewner evolution.