Green functions for killed random walks in the Weyl chamber of Sp(4)
Kilian Raschel (2011)
Annales de l'I.H.P. Probabilités et statistiques
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We consider a family of random walks killed at the boundary of the Weyl chamber of the dual of Sp(4), which in addition satisfies the following property: for any ≥ 3, there is in this family a walk associated with a reflection group of order 2. Moreover, the case = 4 corresponds to a process which appears naturally by studying quantum random walks on the dual of Sp(4). For all the processes belonging to this family, we find the exact asymptotic of the Green functions along all infinite...