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학술저널

THE DIMENSIONS OF THE MINIMUM AND MAXIMUM CYLINDRICAL LOCAL DIMENSION SETS

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We compute the Hausdorff and packing dimensions of the cylindrical lower or upper local dimension set for a self-similar measure having different minimum and maximum of the local dimension on a self-similar set satisfying the open set condition.

1. Introduction

2. Preliminaries

3. Relation between frequency and density

4. Subset relation and multifratal spectrum

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