Geometric structures of late points of a two-dimensional simple random walk
Geometric structures of late points of a two-dimensional simple random walk
复制标题
二维简单随机游走后期点的几何结构
DOI：
10.1214/18-aop1325
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发表时间：
2016
影响因子：
2.3
通讯作者：
Izumi Okada
中科院分区：
文献类型：
--
作者：
Izumi Okada
根据Dembo（$2003$, $2006$）的建议，我们考虑二维简单随机漫步的后期点问题。结果表明，迟点对数的指数与高斯自由场中近最优点和高点的指数一致，它们的确切值是已知的。我们估计了一个多点延迟点集的平均数量的指数。虽然已经观察到三类点之间存在一定的相似性，但我们的结果显示出差异。
We consider the problem, as suggested by Dembo ($2003$, $2006$), of late points of a simple random walk in two dimensions. It has been shown that the exponents for the numbers of pairs of late points coincide with those of nearly favorite points and high points in the Gaussian free field, whose exact values are known. We estimate the exponents for the numbers of a multipoint set of late points in average. While there have been observed certain similarities between among three classes of points, our results exhibit a difference.