Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2012; 49(5): 1041-1055

Printed September 30, 2012

https://doi.org/10.4134/BKMS.2012.49.5.1041

Copyright © The Korean Mathematical Society.

The parameter distribution set for a self-similar measure

In-Soo Baek

Pusan University of Foreign Studies

Abstract

The parameter lower (upper) distribution set corresponds to the cylindrical lower or upper local dimension set for a self-similar measure on a self-similar set satisfying the open set condition.

Keywords: Hausdorff dimension, packing dimension, self-similar set, distribution set, local dimension set

MSC numbers: Primary 28A78; Secondary 28A80