Hausdorff dimension of the multiplicative golden mean shift
نویسندگان
چکیده
منابع مشابه
The Multiplicative Golden Mean Shift Has Infinite Hausdorff Measure
In an earlier work, joint with R. Kenyon, we computed the Hausdorff dimension of the “multiplicative golden mean shift” defined as the set of all reals in [0, 1] whose binary expansion (xk) satisfies xkx2k = 0 for all k ≥ 1. Here we show that this set has infinite Hausdorff measure in its dimension. A more precise result in terms of gauges in which the Hausdorff measure is infinite is also obta...
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