CALCULATION OF HAUSDORFF DIMENSIONS OF MORAN ’S FRACTALS BY MEANS OF ENCODING SPACES
Abstract
We prove that the Hausdorff dimension of any subset of Moran’s fractal is equal to that of the set of sequences encoding this subset under a suitable choice of metrics on the encoding set.
About the Authors
V. I. BAKHTIN
Католический университет Люблина
Poland
Poland
P. N. VOROBEI
Белорусский государственный университет, Минск
Belarus
Belarus
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