论文标题
远程一脚式随机步行以积极的速度随机步行
Long range one-cookie random walk with positive speed
论文作者
论文摘要
我们研究了一维激发随机步行，以非最新的邻居跳跃。当该过程处于以前尚未访问过的顶点时，其下一个过渡向右呈积极漂移，可能会跳远。每当该过程访问过去已经访问过的顶点时，其下一个过渡就是一个简单的对称随机步行之一。我们为该过程提供了足够的条件，使其具有正速度。
We study one-dimensional excited random walks with non-nearest neighbor jumps. When the process is at a vertex that has not been visited before, its next transition has a positive drift to the right, possibly with long jumps. Whenever the process visits a vertex that has already been visited in the past, its next transition is the one of a simple symmetric random walk. We give a sufficient condition for the process to have positive speed.
