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Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets

Metric Geometry 2013-12-06 v1 Classical Analysis and ODEs

Abstract

We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.

Keywords

Cite

@article{arxiv.1312.1406,
  title  = {Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets},
  author = {Steen Pedersen and Jason D. Phillips},
  journal= {arXiv preprint arXiv:1312.1406},
  year   = {2013}
}

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19 pages