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math.PR2021
Brownian sheet and time inversion -- From -orbit to -orbit
Manon Defosseux
We have proved in a previous paper that a space-time Brownian motion conditioned to remain in a Weyl chamber associated to an affine Kac-Moody Lie algebra is distributed as the rad…
math.PR2021
Brownian paths in an alcove and the Littelmann path model
Manon Defosseux
We present some results about connections between Littelmann paths and Brownian paths in the framework of affine Lie algebras. We expect that they will be the first steps on a way…