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Fractal Percolation, Porosity, and Dimension by tuomo.ojala is a document available to read on EtoBox.
What is Fractal Percolation, Porosity, and Dimension about?
The document investigates the porosity properties of fractal percolation sets in Rd, providing dimension bounds for exceptional points where porosity values deviate from specific thresholds. The authors utilize Galton-Watson processes to derive results about upper and lower porosities, confirming conjectures regarding their extremal values. Key theorems establish relationships between porosity and Hausdorff dimension, extending findings to inhomogeneous fractal percolation and more general random sets.
- Author
- tuomo.ojala
- Language
- EN