Dimension of countable intersections of some sets arising in expansions in non-integer bases
Dimension of countable intersections of some sets arising in expansions in non-integer bases
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DOI：
10.4064/fm209-2-4
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发表时间：
2010
影响因子：
0.6
通讯作者：
D. Färm;T. Persson;J. Schmeling
中科院分区：
文献类型：
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作者：
D. Färm;T. Persson;J. Schmeling
考虑非整数基中实数的展开式。这些膨胀是由位移产生的。证明了度量数论中出现的一些集合具有可数交性质。这允许我们考虑在可数的不同（非整数）基数中具有共同属性的实数集合。有些结果甚至对于整数进制也是新的。
Abstract in Undetermined We consider expansions of real numbers in non-integer bases. These expansions are generated by beta-shifts. We prove that some sets arising in metric number theory have the countable intersection property. This allows us to consider sets of reals that have common properties in a countable number of different (non-integer) bases. Some of the results are new even for integer bases.