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- W2026650966 abstract "While self-similar sets have no tangents at any single point, self-affine curves can be smooth. We consider plane self-affine curves without double points and with two pieces. There is an open subset of parameter space for which the curve is differentiable at all points except for a countable set. For a parameter set of codimension one, the curve is continuously differentiable. However, there are no twice differentiable self-affine curves in the plane, except for parabolic arcs." @default.
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- W2026650966 date "2011-08-12" @default.
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- W2026650966 title "Differentiability of fractal curves" @default.
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- W2026650966 doi "https://doi.org/10.1088/0951-7715/24/10/003" @default.
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