Tag Archives: projection theorem

Pinned distance sets using effective dimension

I have just uploaded a paper on the Hausdorff dimension of pinned distance sets. For a given set , the distance set of E is If , the pinned distance set of E with respect to x is An important … Continue reading

Posted in Distance sets, Kolmogorov complexity, Projection theorems | Tagged , , | Leave a comment

Projection theorems using effective dimension

In this post I will describe how to use effective dimension to investigate how the fractal dimension of a set changes when projected onto a linear subspace. The first theorem investigating this behavior is the celebrated Marstrand projection theorem. Theorem … Continue reading

Posted in Uncategorized | Tagged , , | Leave a comment