The Hausdorff dimension of multiply Xiong chaotic sets

We construct a multiply Xiong chaotic set with full Hausdorff dimension everywhere that is contained in some multiply proximal cell for the full shift over finite symbols and the Gauss system, respectively.

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Bibliographic Details
Published inErgodic theory and dynamical systems Vol. 40; no. 11; pp. 3056 - 3077
Main Authors LI, JIAN, LÜ, JIE, XIAO, YUANFEN
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 01.11.2020
Subjects
Original Article
multiply proximal cells
Gauss system
Hausdorff dimension
54H20
37B10
symbolic systems
37B99
multiply Xiong chaos
37B05
Online AccessGet full text
ISSN0143-3857
1469-4417
DOI10.1017/etds.2019.35

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Summary:We construct a multiply Xiong chaotic set with full Hausdorff dimension everywhere that is contained in some multiply proximal cell for the full shift over finite symbols and the Gauss system, respectively.
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content type line 14
ISSN:0143-3857
1469-4417
DOI:10.1017/etds.2019.35