论文标题
在半平面半弯道的当地时间
On the local time of the Half-Plane Half-Comb walk
论文作者
论文摘要
半平面半弯曲步行是在平面上随机步行,当我们在上半平面上有一个方形晶格,下半平面上有一个梳子结构,即删除x轴下方的水平线。我们证明,此步行以2n步骤返回原点的概率渐近地等于2/(πn)。 AS15 PAG的结果我们证明了当地时代的强大法律和限制分布。
The Half-Plane Half-Comb walk is a random walk on the plane, when we have a square lattice on the upper half-plane and a comb structure on the lower half-plane, i.e. horizontal lines below the x-axis are removed. We prove that the probability that this walk returns to the origin in 2N steps is asymptotically equal to 2/(πN). As15 pag a consequence we prove strong laws and a limit distribution for the local time.