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Skew-product representations of multidimensional Dunkl Markov processes

Oleksandr Chybiryakov — 2008

Annales de l'I.H.P. Probabilités et statistiques

In this paper we obtain skew-product representations of the multidimensional Dunkl processes which generalize the skew-product decomposition in dimension 1 obtained in L. Gallardo and M. Yor. Some remarkable properties of the Dunkl martingales. , 2006. We also study the radial part of the Dunkl process, i.e. the projection of the Dunkl process on a Weyl chamber.

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