高维短一致随机游动的密度
Densities of short uniform random walks in higher dimensions
摘要：
我们研究了任意维的短均匀随机游动的算术性质，重点是在最多五步的情况下对矩函数和概率密度的显式（超几何）评价。有些令人惊讶的是，我们能够提供完整的扩展到任意尺寸的大多数已知的中心结果在二维的情况下。
英文摘要：
We study arithmetic properties of short uniform random walks in arbitrary dimensions, with a focus on explicit (hypergeometric) evaluations of the moment functions and probability densities in the case of up to five steps. Somewhat to our surprise, we are able to provide complete extensions to arbitrary dimensions for most of the central results known in the two-dimensional case.
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。
