Fractal dimension related to devil's staircase for a family of piecewise linear mappings

We calculate the dimension of the set which is complementary to the complete devil's staircase of a family of piecewise linear mappings. We obtain universal values of fractal dimension 12 for one region of the staircase and 0 for the remaining region. The ways by which these values are approached are also investigated as a function of a scale to measure the set.

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Year of publication:	1984
Authors:	Horiguchi, T. ; Morita, T.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 128.1984, 1, p. 289-295
Publisher:	Elsevier

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010872087