- Title
- Densities of short uniform random walks in higher dimensions
- Creator
- Borwein, Jonathan M.; Straub, Armin; Vignat, Christophe
- Relation
- Journal of Mathematical Analysis and Applications Vol. 437, Issue 1, p. 668-707
- Publisher Link
- http://dx.doi.org/10.1016/j.jmaa.2016.01.017
- Publisher
- Academic Press
- Resource Type
- journal article
- Date
- 2016
- Description
- 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.
- Subject
- short random walks; generalised hypergeometric functions; Bessel integrals; Narayana numbers
- Identifier
- http://hdl.handle.net/1959.13/1321817
- Identifier
- uon:24454
- Identifier
- ISSN:0022-247X
- Language
- eng
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