0000000000989265

AUTHOR

Meng Wu

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Random cutout sets with spatially inhomogeneous intensities

2015

We study the Hausdorff dimension of Poissonian cutout sets defined via inhomogeneous intensity measures on Ahlfors-regular metric spaces. We obtain formulas for the Hausdorff dimension of such cutouts in self-similar and self-conformal spaces using the multifractal decomposition of the average densities for the natural measures.

General MathematicsStructure (category theory)Hausdorff dimensionDynamical Systems (math.DS)01 natural sciencesMeasure (mathematics)010104 statistics & probabilityCorollaryDimension (vector space)Classical Analysis and ODEs (math.CA)FOS: MathematicsMathematics::Metric Geometry0101 mathematicsMathematics - Dynamical SystemsMathematicsmatematiikkaHausdorffin dimensioProbability (math.PR)010102 general mathematicsMathematical analysisMultifractal systemPoissonian CutoutMetric spaceMathematics - Classical Analysis and ODEsHausdorff dimensionPrimary 60D05 Secondary 28A80 37D35 37C45Intensity (heat transfer)Mathematics - Probability
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