The box dimension of completely invariant subsets for expanding piecewise monotonic transformations |
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| Authors: | Franz Hofbauer |
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| Institution: | (1) Institut für Mathematik, Universität Wien, Strudlhofgasse 4, A-1090 Wien, Austria |
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| Abstract: | We consider completely invariant subsetsA of expanding piecewise monotonic transformationsT on 0, 1]. An estimate of the box dimension of such setsA in terms of a certain pressure function is given, which implies equality of box dimension and Hausdorff dimension ofA. |
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| Keywords: | 26A18 28D99 54H20 |
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