Tag Archives: geometric measure theory
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
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
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Tagged effective dimension, geometric measure theory, projection theorem
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