Self-similarity and covered neighborhoods of fractals: A random walk test (Q1330362)

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scientific article; zbMATH DE number 606952
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Self-similarity and covered neighborhoods of fractals: A random walk test
scientific article; zbMATH DE number 606952

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    Self-similarity and covered neighborhoods of fractals: A random walk test (English)
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    15 March 1995
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    The authors investigate numerically how the volume of certain tube-like neighbourhoods of random walk trajectories in Euclidean 3-space depends on the width of the neighbourhood and the ``diameter'' of the random walk trajectory. The numerical findings are related to analytic results by \textit{F. Spitzer} [Z. Wahrscheinlichkeitstheorie Verw. Geb. 3, 110-121 (1964; Zbl 0126.335)].
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    self-similarity
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    fractal
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    tube-like neighbourhoods of random walk trajectories
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