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arXiv · 1007.2177

On random fractals with infinite branching: definition, measurability, dimensions

Artemi Berlinkov
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Abstract

We discuss the definition and measurability questions of random fractals and find under certain conditions a formula for upper and lower Minkowski dimensions. For the case of a random self-similar set we obtain the packing dimension.

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Artemi Berlinkov. 2010-07-13. On random fractals with infinite branching: definition, measurability, dimensions. https://doi.org/10.1214/12-aihp502

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