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Skew-product representations of multidimensional Dunkl Markov processes

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arxiv 0808.3033 v1 pith:N6ZMZVF6 submitted 2008-08-22 math.PR

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keywords dunklskew-productmultidimensionalprocessprocessesrepresentationschamberdecomposition
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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. S\'{e}minaire de Probabilit\'{e}s XXXIX, 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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