逆潮流而动：具有竞争漂移的随机游动
Excited against the tide: A random walk with competing drifts
摘要：
我们研究一个随机游动，有一个漂移$\fracβ{d}$的权利时，位于一个以前未访问的顶点和漂移$\fracμ{d}$的左边，否则。我们证明，在高维中，对于每个$μ$，向右漂移是一个严格增加和连续函数$β$，并恰好有一个值$β_0(μ,d)$的速度为零。
英文摘要：
We study a random walk that has a drift $\fracβ{d}$ to the right when located at a previously unvisited vertex and a drift $\fracμ{d}$ to the left otherwise. We prove that in high dimensions, for every $μ$, the drift to the right is a strictly increasing and continuous function of $β$, and that there is precisely one value $β_0(μ,d)$ for which the resulting speed is zero.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
