Topological And Metric Properties Of Some Sets Related To L�roth Expansion

Posted on:2020-08-20

Degree:Master

Type:Thesis

Country:China

Candidate:Y H Wu

Full Text:PDF

GTID:2370330599951705

Subject:Basic mathematics

Abstract/Summary:

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This paper is mainly concerned with scrambled sets for L�roth map.It is shown that all scrambled sets have null Lebesgue measure.We construct an example of scrambled set with full Hausdorff dimension.Some topological properties of the set of points with dense orbits are investigated as well.

Keywords/Search Tags:

L�roth expansion, Hausdorff dimension, Li-York chaotic

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