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Commun. Korean Math. Soc. 2015; 30(3): 221-226
Printed July 31, 2015
https://doi.org/10.4134/CKMS.2015.30.3.221
Copyright © The Korean Mathematical Society.
Spectral classes and the parameter distribution set
In-Soo Baek
Busan University of Foreign Studies
The natural projection of a parameter lower (upper) distribution set for a self-similar measure on a self-similar set satisfying the open set condition is the cylindrical lower or upper local dimension set for the Legendre self-similar measure which is derived from the self-similar measure and the self-similar set.
Keywords: Hausdorff dimension, packing dimension, self-similar set, distribution set, local dimension set
MSC numbers: Primary 28A78; Secondary 28A80
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