Self-affine sets with fibred tangents
2016 ◽
Vol 37
(6)
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pp. 1915-1934
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Keyword(s):
We study tangent sets of strictly self-affine sets in the plane. If a set in this class satisfies the strong separation condition and projects to a line segment for sufficiently many directions, then for each generic point there exists a rotation${\mathcal{O}}$such that all tangent sets at that point are either of the form${\mathcal{O}}((\mathbb{R}\times C)\cap B(0,1))$, where$C$is a closed porous set, or of the form${\mathcal{O}}((\ell \times \{0\})\cap B(0,1))$, where$\ell$is an interval.
2018 ◽
Vol 167
(01)
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pp. 193-207
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2016 ◽
Vol 160
(3)
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pp. 537-563
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2014 ◽
Vol 511-512
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pp. 1185-1188
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):
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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