11 citations · 16 across the 10 of their papers we have counts for
Showing 2016 · cs.CCShow all
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cs.CC2016★ 1 cited
A Note on Pointwise Dimensions
Neil Lutz
This short note describes a connection between algorithmic dimensions of individual points and classical pointwise dimensions of measures.
cs.CC2016
Fractal Intersections and Products via Algorithmic Dimension
Neil Lutz
Algorithmic fractal dimensions quantify the algorithmic information density of individual points and may be defined in terms of Kolmogorov complexity. This work uses these dimensio…
cs.CC2016
Bounding the Dimension of Points on a Line
Neil Lutz, D. M. Stull
We use Kolmogorov complexity methods to give a lower bound on the effective Hausdorff dimension of the point (x, ax+b), given real numbers a, b, and x. We apply our main theorem to…