On the Hausdorff dimension faithfulness connected with Q∞-expansion
On the Hausdorff dimension faithfulness connected with Q∞-expansion
复制标题
与 Q ∞ 展开相关的 Hausdorff 维数忠实度
DOI：
10.1088/1361-6544/aa67a2
复制
发表时间：
2016
期刊：
影响因子：
1.7
通讯作者：
Zhenliang Zhang
中科院分区：
文献类型：
--
作者：
J. Liu;Zhenliang Zhang
In this paper, we show that, the family of all possible unions of finitely many consecutive cylinders of the same rank of a Q∞-expansion is faithful for the Hausdorff dimension calculations. Applying this result, we give a necessary and sufficient condition for the family of all cylinders of the Q∞-expansion to be faithful for Hausdorff dimension calculation on the unit interval. This answers an open problem mentioned in Albeverio et al (2016 Math. Nachr. at press (https//:doi.org/10.1002/mana.201500471)).
DOI：
10.2307/2532125
发表时间：
1990-03
期刊：
--
影响因子：
--
作者：
K. Falconer
通讯作者：
K. Falconer