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Hausdorff dimensions for graph-directed measures driven by infinite rooted trees - MaRDI portal

Hausdorff dimensions for graph-directed measures driven by infinite rooted trees (Q2188798)

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Hausdorff dimensions for graph-directed measures driven by infinite rooted trees
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    Hausdorff dimensions for graph-directed measures driven by infinite rooted trees (English)
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    11 June 2020
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    The author considers a class of graph-directed measures and obtain upper and lower bounds for its Hausdorff dimensions when its underlying directed graph is the infinite \(N\)-ary tree. This class contains several measures from fractal geometry and functional equations.
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    Hausdorff dimension for measure
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    graph-directed measures
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    singularity problem
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    de Rham's functional equations
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