JournalsjfgVol. 7, No. 3pp. 271–317

Orthogonal projections of discretized sets

  • Weikun He

    Université Paris-Sud, France, and The Hebrew University of Jerusalem, Israel
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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.

Cite this article

Weikun He, Orthogonal projections of discretized sets. J. Fractal Geom. 7 (2020), no. 3, pp. 271–317

DOI 10.4171/JFG/92