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An application of group random walk theory to random walks in Euclidean space

✍ Scribed by K. Hinderer; L. A. Shepp

Book ID
118289555
Publisher
Springer
Year
1965
Tongue
English
Weight
285 KB
Volume
16
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES

Random Walk in an Alcove of an Affine We
Random Walk in an Alcove of an Affine Weyl Group, and Non-colliding Random Walks on an Interval
✍ David J. Grabiner πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 159 KB

We use a reflection argument, introduced by Gessel and Zeilberger, to count the number of k-step walks between two points which stay within a chamber of a Weyl group. We apply this technique to walks in the alcoves of the classical affine Weyl groups. In all cases, we get determinant formulas for th