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math.CO2000
Random Walk in an Alcove of an Affine Weyl Group, and Non-Colliding Random Walks on an Interval
David J. Grabiner
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…
math.CO1997
Continued Fractions and Unique Additive Partitions
David J. Grabiner
A partition of the positive integers into sets and {\em avoids} a set if no two distinct elements in the same part have a sum in . If the partition is uniqu…