Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2008; 23(4): 549-554

Printed December 1, 2008

Copyright © The Korean Mathematical Society.

Multifractal spectrum in a self-similar attractor in the unit interval

In Soo Baek

Pusan University of Foreign Studies

Abstract

We study the multifractal spectrum of two dimensionally indexed classes whose members are distribution sets of a self-similar attractor in the unit interval.

Keywords: Hausdorff dimension, packing dimension, multifractal, distribution set, self-similar attractor

MSC numbers: Primary 28A78, 28A80