Some properties of the multitype measure branching process☆

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Abstract

Qualitative properties of the multitype measure branching process and its occupation time process are investigated, including martingale properties, Hausdorff dimension of supports, existence of densities and stochastic equations.

Keywords

multitype measure branching process
random measure
Hausdorff dimension
martingale measure

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Research supported in part by CONACyT grant A128CCOE886 (MT-2) and by a CONACyT-CNRS project.

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