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Journal of Dynamical Systems and Geometric Theories cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0057·ISSN (Print): 1726-037X

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Half-Yearly Journal: Publishes research on dynamical systems and geometry, including Random Dynamical Systems, hyperbolic behaviour, complex geometry and Ergodic theory.

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Open Access Original Articles

On the Arithmetic Difference of Affine Cantor Sets

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pp. 139–146Vol. 4Issue 2November 2006DOI: 10.1080/1726037X.2006.10698511XML
Received:
05 Dec 2005
Published Online:
03 Jun 2013
Article type:
Original Articles
Language:
EN
Article no.:
1726037X.2006.10698511
Pages:
139–146

Abstract

In this paper we construct a recurrent compact set for the relative configurations set of special affine Cantor sets. This will produce a class of examples of Cantor sets such that their arithmetic difference contains an interval, while their thickness product is less than one.

Keywords

References

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