21 citations · 33 across the 12 of their papers we have counts for
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math.RT2012★ 1 cited
Conditioned one-way simple random walk and representation theory
Cédric Lecouvey, Emmanuel Lesigne, Marc Peigné
We call one-way simple random walk a random walk in the quadrant Z_+^n whose increments belong to the canonical base. In relation with representation theory of Lie algebras and sup…
math.RT2010★ 21 cited
Random walks in Weyl chambers and crystals
Cédric Lecouvey, Emmanuel Lesigne, Marc Peigné
We use Kashiwara crystal basis theory to associate a random walk W to each irreducible representation V of a simple Lie algebra. This is achieved by endowing the crystal attached t…