Random Walk in a Weyl Chamber

Ira M. Gessel, Doron Zeilberger
1992 Proceedings of the American Mathematical Society  
The classical Ballot problem that counts the number of ways of walking from the origin and staying within the wedge x 1 ≥ x 2 ≥ ... ≥ x n (which is a Weyl chamber for the symmetric group), using positive unit steps, is generalized to general Weyl groups and general sets of steps. 1
doi:10.2307/2159560 fatcat:qvvrysfuuzex7alew3xuaqajha