HAUSDORFF AND PACKING MEASURES OF BALANCED CANTOR SETS

Kathryn Hare; Ka-Shing Ng

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HAUSDORFF AND PACKING MEASURES OF BALANCED CANTOR SETS

机译：平衡的Cantor集的HAUSORFF和包装措施

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摘要

We estimate the h-Hausdorff and h-packing measures of balanced Cantor sets, and characterize the corresponding dimension partitions. This generalizes results known for Cantor sets associated with positive decreasing summable sequences and central Cantor sets.

机译：我们估计平衡Cantor集的h-Hausdorff和h-packing度量，并表征相应的维分区。这归纳了与正递减可加序列和中心Cantor集相关的Cantor集的已知结果。

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来源
《Real analysis exchange》 |2015年第1期|113-128|共16页
作者
Kathryn Hare; Ka-Shing Ng;
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作者单位

Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada;

Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada;

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原文格式 PDF
正文语种 eng
中图分类
关键词
Cantor sets; Hausdorff measures; packing measures; dimension functions; gauge functions; cut-out sets;

机译：康托集;Hausdorff措施;包装措施;尺寸函数;量具功能;裁切套;

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2. Exact Hausdorff and packing measures of Cantor sets with overlaps [J] . Qiu Hua Ergodic Theory and Dynamical Systems . 2015,第Pta8期

机译：重叠的Cantor集的精确Hausdorff和包装措施
3. Intersection of triadic Cantor sets with their translates. II. Hausdorff measure spectrum function and its introduction for the classification of Cantor sets [J] . Li J, Nekka F Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science . 2004,第1期

机译：三重Cantor集的相交及其平移。二。 Hausdorff测度谱函数及其在Cantor集分类中的应用
4. Hausdorff dimension of the random middle third Cantor set [C] . International Conference on Information Technology . 2009

机译：随机中间第三张哥伦集的Hausdorff尺寸
5. Conformal dimension of Cantor sets and curve families in the plane: Central sets of Hausdorff dimension 2. [D] . Hakobyan, Hrant. 2006

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6. Fractal Plasmons on Cantor Set Thin Film [O] . David Ziemkiewicz, Karol Karpiński, Sylwia Zielińska-Raczyńska 2019

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7. Exact Hausdorff and Packing measure of certain Cantor sets, not necessarily self-similar or homogeneous [O] . Leandro Zuberman 2019

机译：某些唱名集的精确Hausdorff和包装尺寸，不一定是自我相似或均匀的
8. Hausdorff Dimension of Harmonic Measure for Self-Conformal Sets [R] . Urbanski, M., Zdunik, A. 2000

机译：自共形集的调和测度的Hausdorff维数

HAUSDORFF AND PACKING MEASURES OF BALANCED CANTOR SETS

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