Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614480 | Journal of Mathematical Analysis and Applications | 2016 | 40 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jonathan M. Borwein, Armin Straub, Christophe Vignat,