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Showing 1 to 3 of 3 for “"Hausdorff metric"”.

  1. Dimensions of Self-Similar Fractals

    We investigate the topological, similarity and Hausdorff dimensions of self-similar fractals that are the invariant sets of iterated function systems. We start with the Contraction Mapping Theorem, which will give us a constructive method in which to find fractals using iterated function systems. …

    wfu Repository record for Dimensions of Self-Similar Fractals (opens in a new tab)

  2. Optimal design problems for quasidisks and partially clamped drums: Existence, symmetrization, and numerical methods

    … constant and area, is compact in both the Hausdorff metric and in the sense of Caratheodory convergence. Compactness for chord-arc domains with fixed chord-arc constant and area is shown as a result of the quasidisk compactness. Compactness is used to show that each eigenvalue of the …

    rice Repository record for Optimal design problems for quasidisks and partially clamped drums: Existence, symmetrization, and numerical methods (opens in a new tab)

  3. Εργοδικά θεωρήματα σε von Neumann άλγεβρες και εργοδικά θεωρήματα για τυχαία σύνολα σε χώρους Banach

    Let M be von Neumann algebra with a faithful normal semifinite weight and a semigroup of kernels on it. In paragraph 2 maximal ergodic theorems are given for additive and strongly superadditive processes, one dimensional or multidimensional. In paragraph 3 we deal with continuous parameter …

    greece Repository record for Εργοδικά θεωρήματα σε von Neumann άλγεβρες και εργοδικά θεωρήματα για τυχαία σύνολα σε χώρους Banach (opens in a new tab)