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Semigroups whose Julia sets are Cantor targets.

Authors :
Morosawa, Shunsuke
Source :
Complex Variables & Elliptic Equations. Apr2019, Vol. 64 Issue 4, p701-709. 9p.
Publication Year :
2019

Abstract

We consider semigroups generated by two rational functions whose Julia sets are Cantor targets. Noting that a Cantor target has no interior points, we construct a polynomial semigroup whose Julia set has no interior points and the Hausdorff dimension of whose Julia set is arbitrary close to 2. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*SEMIGROUPS (Algebra)
*JULIA sets
*FRACTAL dimensions
*ITERATIVE methods (Mathematics)
*POLYNOMIALS

Details

Language :
English
ISSN :
17476933
Volume :
64
Issue :
4
Database :
Academic Search Index
Journal :
Complex Variables & Elliptic Equations
Publication Type :
Academic Journal
Accession number :
134265392
Full Text :
https://doi.org/10.1080/17476933.2018.1481834
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