On the Boundary of Self-Affine Sets
Joint Authors
Source
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-3, 3 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-24
Country of Publication
Egypt
No. of Pages
3
Main Subjects
Abstract EN
This paper is devoted to studying the boundary behavior of self-affine sets.
We prove that the boundary of an integral self-affine set has Lebesgue measure zero.
In addition, we consider the variety of the boundary of a self-affine set when some other contractive maps are added.
We show that the complexity of the boundary of the new self-affine set may be the same, more complex, or simpler; any one of the three cases is possible.
American Psychological Association (APA)
Deng, Qi-Rong& Wang, Xiang-Yang. 2015. On the Boundary of Self-Affine Sets. Abstract and Applied Analysis،Vol. 2015, no. 2015, pp.1-3.
https://search.emarefa.net/detail/BIM-1052070
Modern Language Association (MLA)
Deng, Qi-Rong& Wang, Xiang-Yang. On the Boundary of Self-Affine Sets. Abstract and Applied Analysis No. 2015 (2015), pp.1-3.
https://search.emarefa.net/detail/BIM-1052070
American Medical Association (AMA)
Deng, Qi-Rong& Wang, Xiang-Yang. On the Boundary of Self-Affine Sets. Abstract and Applied Analysis. 2015. Vol. 2015, no. 2015, pp.1-3.
https://search.emarefa.net/detail/BIM-1052070
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052070