Hausdorff dimension of certain sets arising in continued fraction expansions

By Bao-Wei Wang, Jun Wu. 2008

118 citations recorded by the source corpus.

This paper is concerned with the fractional dimensions of some sets of points with their partial quotients obeying some restrictions in their continued fraction expansions. The Hausdorff dimension of the following set, which shares a dichotomy law according to Borel�Bernstein's theorem, is completely determined Our result significantly strengthens the results of Good and Luczak.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/935578f947ed3d40244f9339d9a9e3b53064c2c9

How researchers see this paper

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In Applied Mathematics

1. Jian Xu
2. Bing Li
3. Jun Wu
4. Bao-Wei Wang

In Geometry and Topology

1. Jian Xu
2. Bing Li
3. Jun Wu
4. Bao-Wei Wang

In Mathematical Physics

1. Bao-Wei Wang
2. Jian Xu
3. Bing Li
4. Jun Wu

Citations in the corpus

• The shrinking target problem in the dynamical system of continued fractions (2014, background): “The following corollary illustrates some relationships between the pre-dimensional numbers and the continuities of them in different parameters (see [26] also [35]).”