21 citations · 33 across the 12 of their papers we have counts for
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math.CO2014
Harmonic functions on multiplicative graphs and inverse Pitman transform on infinite random paths
Cédric Lecouvey, Emmanuel Lesigne, Marc Peigné
We introduce and characterize central probability distributions on Littelmann paths. Next we establish a law of large numbers and a central limit theorem for the generalized Pitman…
math.CO2013
Conditioned random walks from Kac-Moody root systems
Cédric Lecouvey, Emmanuel Lesigne, Marc Peigné
Random paths are time continuous interpolations of random walks. By using Littelmann path model, we associate to each irreducible highest weight module of a Kac Moody algebra g a r…