Hausdorff Measure and Hausdorff Dimension in Devil Stair
Lian Dan-qing
Abstract
Lian Dan-qing
Abstract
In fractal geometry,Hausdorff measure and Hausdorff dimension are basical concepts,we study a special set-devil stair and offer its Hausdorff measure and Hausdorff dimension,and then we generalize the result to more general sets.
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In fractal geometry,Hausdorff measure and Hausdorff dimension are basical concepts,we study a special set-devil stair and offer its Hausdorff measure and Hausdorff dimension,and then we generalize the result to more general sets.
Key concepts: Hausdorff dimension, Hausdorff measure, Outer measure, Effective dimension, Mathematics, Urysohn and completely Hausdorff spaces, Packing dimension, Dimension function