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Register a new userIterated Function Systems in Mixed Euclidean and p-adic Spaces
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Authors
Bernd Sing
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We investigate graph-directed iterated function systems in mixed Euclidean and p-adic spaces. Hausdorff measure and Hausdorff dimension in such spaces are defined, and an upper bound for the Hausdorff dimension is obtained. The relation between the Haar measure and the Hausdorff measure is clarified. Finally, we discus an example in ${Bbb R}times{Bbb Q}sb 2$ and calculate upper and lower bounds for its Hausdorff dimension.
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This is the final version, to appear in Commentarii Mathematici Helvetici.
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