Neil Dobbs
Published 2014-09-03Version 1
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.
On A Relation Between $q$-Exponential And $θ$-Function
Hausdorff dimension, projections, intersections, and Besicovitch sets
An improved bound on the Hausdorff dimension of Besicovitch sets in $\mathbb{R}^3$
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