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

T. Horiguchi and T. Morita

Physica A: Statistical Mechanics and its Applications, 1984, vol. 128, issue 1, 289-295

Abstract: 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.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:128:y:1984:i:1:p:289-295

DOI: 10.1016/0378-4371(84)90092-X

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