Projections in vector spaces over finite fields

Abstract

We study the projections in vector spaces over finite fields. We prove finite fields analogues of the bounds on the dimensions of the exceptional sets for Euclidean projection mapping. We provide examples which do not have exceptional projections via projections of random sets. In the end we study the projections of sets which have the (discrete) Fourier decay.

arXiv comment14 pages, no figures, some typos were fixed, last version, to appear in Ann. Acad. Sci. Fenn. Math

References in corpus (4)

• On the Packing Dimension and Category of Exceptional Sets of Orthogonal Projections
• Projections of planar sets in well-separated directions
• Improving Kaufman's exceptional set estimate for packing dimension
• A discretised projection theorem in the plane