On the equality of Hausdorff and box counting dimensions.

نویسنده

  • Ronnie Mainieri
چکیده

By viewing the covers of a fractal as a statistical mechanical system, the exact capacity of a multifractal is computed. The procedure can be extended to any multifractal described by a scaling function to show why the capacity and Hausdorff dimension are expected to be equal.

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عنوان ژورنال:
  • Chaos

دوره 3 2  شماره 

صفحات  -

تاریخ انتشار 1993