Zaremba理论中Cantor集的严格维数估计

O. Jenkinson, M. Pollicott
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引用次数: 6

摘要

我们讨论了在Zaremba猜想的研究中使用的界的准确性问题。具体来说,我们建立了在分析Zaremba猜想[5,18,19,23]中出现的某些Cantor集的Hausdorff维数的严格估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Rigorous dimension estimates for Cantor sets arising in Zaremba theory
We address the question of the accuracy of bounds used in the study of Zaremba’s conjecture. Specifically, we establish rigorous estimates on the Hausdorff dimension of certain Cantor sets which arise in the analysis of Zaremba’s conjecture in [5, 18, 19, 23].
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