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arxiv: 1409.1079 · v2 · pith:4KIDWWSJnew · submitted 2014-09-03 · 🧮 math.CA

Line, spiral, dense

classification 🧮 math.CA
keywords exponentialdenselineplanealmostangleanglescomplex
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Exponential of exponential of almost every line in the complex plane is dense in the plane. On the other hand, for lines through any point, for a set of angles of Hausdorff dimension one, exponential of exponential of a line with angle from that set is not dense in the plane.

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