论文标题
免费产品的随机步行范围
Range of Random Walks on Free Products
论文作者
论文摘要
在本文中，我们考虑在图形的免费产品上进行瞬态随机步行。我们证明，这些随机步行的渐近范围存在，严格是积极的。特别是，我们表明该范围随恒定支撑的概率度量而变化。此外，我们证明了与随机步行范围相关的中心限制定理。
In this article we consider transient random walks on free products of graphs. We prove that the asymptotic range of these random walks exists and is strictly positive. In particular, we show that the range varies real-analytically in terms of probability measures of constant support. Moreover, we prove a central limit theorem associated with the range of the random walk.
