Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2002; 39(1): 113-121

Printed March 1, 2002

Copyright © The Korean Mathematical Society.

Hausdorff dimension of generalized Markov attractors for iterated function systems

Jung Ju Park, Hung Hwan Lee, Hun Ki Baek, and Hyun Jae Yoo

Kyungpook National University, Kyungpook National University, Kyungpook National University, Kyungpook National University

Abstract

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

Keywords: attractor, Hausdorff dimension, iterated function system

MSC numbers: 28A12, 28A80