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Showing 1 to 2 of 2 for “"graph directed sets"”.

  1. Higher-Dimensional Analogues of Two Theorems of Orponen on Exceptional Sets

    … concerning the sizes of \textit{exceptional sets} of projections and slices—the null sets of parameters $V$ for which the conclusion of Marstrand's projection or slicing theorem fails, respectively. These are, in particular, higher-dimensional analogues of two theorems of Tuomas Orponen. The …

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  2. Quantization Dimension for Probability Definitions

    … and also probabilities generated by graph directed systems, which further generalize the idea of an iterated function system.

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