A fractal set from the binary reflected Gray code

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A fractal set from the binary reflected Gray code

The permutation associated with the decimal expression of the binary reflected Gray code with N bits is considered. Its cycle structure is studied. Considered as a set of points, its self-similarity is pointed out. As a fractal, it is shown to be the attractor of a IFS. For large values of N the set is examined from the point of view of time series analysis. PACS numbers: 05.45 Df, 05.45 Tp AMS...

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ژورنال

عنوان ژورنال: Journal of Physics A: Mathematical and General

سال: 2005

ISSN: 0305-4470,1361-6447

DOI: 10.1088/0305-4470/38/41/007