Research and Proof of Decidability on Self-Similar Fractals
2014 ◽
Vol 511-512
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pp. 1185-1188
Keyword(s):
Some undecidability on self-affine fractals have been supported. In this paper, we research on the decidability for self-similar fractal of Dubes type. In fact, we prove that the following problems are decidable to test if the Hausdorff dimension of a given Dubes self-similar set is equal to its similarity dimension, and to test if a given Dubes self-similar set satisfies the strong separation condition.
2018 ◽
Vol 167
(01)
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pp. 193-207
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2007 ◽
Vol 07
(01)
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pp. 37-51
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2015 ◽
Vol 36
(5)
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pp. 1534-1556
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2016 ◽
Vol 160
(3)
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pp. 537-563
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2010 ◽
Vol 149
(1)
◽
pp. 147-172
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2007 ◽
Vol 27
(5)
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pp. 1419-1443
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2008 ◽
Vol 38
(4)
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pp. 1025-1030
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Keyword(s):