The dimension of projections induced by a curve

Abstract

The behavior of the Hausdorff dimension of a set when projected onto a subspace is a fundamental question in fractal geometry. In this paper, we settle a question of Fassler and Orponen concerning the dimension of a set when projected onto a family of lines induced by a curve.

The zero finding algorithm (Theorem 5) is seriously flawed. Although possible to compute the zero by adding an approximation of | <\dot{gamma}(θ), w> | to the advice string, doing so might increase the advice strings length by too large an amount