Random walk loop soup
Random walk loop soup
复制标题
随机游走循环汤
DOI：
10.1090/s0002-9947-06-03916-x
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发表时间：
2004
影响因子：
1.3
通讯作者：
J. A. T. Ferreras
中科院分区：
文献类型：
--
作者：
G. Lawler;J. A. T. Ferreras
由Lawler和Werner（2004）引入的布朗回路汤是无根回路上的σ-有限测度的泊松实现。该测度同时满足共形不变性和约束性质。在本文中，我们定义了一个随机游动回路汤，并证明了它收敛到布朗回路汤。实际上，我们利用Komlos，Major和Tusnady的强逼近结果给出了一个强逼近结果。为了使本文自成一体，我们包括我们需要的近似结果的证明。
The Brownian loop soup introduced by Lawler and Werner (2004) is a Poissonian realization from a σ-finite measure on unrooted loops. This measure satisfies both conformal invariance and a restriction property. In this paper, we define a random walk loop soup and show that it converges to the Brownian loop soup. In fact, we give a strong approximation result making use of the strong approximation result of Komlos, Major, and Tusnady. To make the paper self-contained, we include a proof of the approximation result that we need.