[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2002.39.1.113

HAUSDORFF DIMENSION OF GENERALIZED MARKOV ATTRACTORS FOR ITERATED FUCTION SYSTEMS

Park, Jung-Ju (Department of Mathematics, Kyungpook National University)
Lee, Hung-Hwan (Department of Mathematics, Kyungpook National University)
Baek, Hun-Ki (Department of Mathematics, Kyungpook National University)
Yoo, Hyun-Jae (Department of Mathematics, Kyungpook National University)

Publication Information

Bulletin of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 113-121 More about this Journal

Abstract

We construct lots of non-self similar fractal sets called generalized Markov attractors for a given (hyperbolic) iterated function system and calculated bounds of their Hausdorff dimensions.

Keywords

attractor; Hausdorff dimension; iterated function system;

Citations & Related Records

Reference

1	Hausdorff dimension / [ J. Keesling ] / Topology Proc.
2	Non-self-similar attractors of hyperbolic iterated function systems / [ D. Ellis;M. Branton ] / Lecture Notes in Mathematics DOI
3	Self-similar sets, Ⅰ. Topological Markov chains and mixed self-similar sets / [ C. Bandt ] / Math. Nachr. DOI
4	On Hausdorff dimension for attractors of iterated function systems / [ Q. Yin ] / J. Austral. Math. Soc. (Series A) DOI
5	/ [ E. Seneta ] / Non-negative matrices
6	Fractals and self-similarity / [ J. Hutchinson ] / Indiana Univ. Math. J. DOI
7	Dimensions associated with recurrent self-similar sets / [ A. Deliu;J. Geronimo;R. Shonkwiler ] / Math. Proc. Camb. Phil. Soc. DOI
8	Markov-self-similar sets / [ Y. Tsujii ] / Hiroshima Math. J.
9	/ [ K. Falconer ] / Fractal Geometry John Wiley & Sons
10	A generalization of mixed invariant sets / [ U. Feiste ] / Mathematika DOI