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arXiv · 1710.00795

Orthogonal projections of discretized sets

Weikun He
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Abstract

We generalize Bourgain's discretized projection theorem to higher rank situations. Like Bourgain's theorem, our result yields an estimate for the Hausdorff dimension of the exceptional sets in projection theorems formulated in terms of Hausdorff dimensions. This estimate complements earlier results of Mattila and Falconer.

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Weikun He. 2017-10-02. Orthogonal projections of discretized sets. https://arxiv.org/abs/1710.00795

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