English

Brownian paths in an alcove and the Littelmann path model

Probability 2021-06-29 v3

Abstract

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 which could hopefully lead to a Pitman type theorem for a Brownian motion in an alcove associated to an affine Weyl group.

Keywords

Cite

@article{arxiv.2103.15656,
  title  = {Brownian paths in an alcove and the Littelmann path model},
  author = {Manon Defosseux},
  journal= {arXiv preprint arXiv:2103.15656},
  year   = {2021}
}