The parameter distribution set for a self-similar measure
Bull. Korean Math. Soc. 2012 Vol. 49, No. 5, 1041-1055
https://doi.org/10.4134/BKMS.2012.49.5.1041
Printed September 30, 2012
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
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