Exceptional set estimates for radial projections in R^n

Authors

  • Paige Bright Massachusetts Institute of Technology, Department of Mathematics
  • Shengwen Gan University of Wisconsin-Madison, Department of Mathematics

Keywords:

Radial projection, exceptional estimate

Abstract

 

We prove two conjectures in this paper. The first conjecture is by Lund, Pham and Thu: Given a Borel set ARn such that dimA(k,k+1] for some k{1,,n1}. For 0<s<k, we have   dim({yRnAdim(πy(A))<s})max{k+sdimA,0}.   The second conjecture is by Liu: Given a Borel set ARn, then
dim({xRnAdim(πx(A))<dimA})dimA.

 

Section
Articles

Published

2024-11-15

How to Cite

Bright, P., & Gan, S. (2024). Exceptional set estimates for radial projections in R^n. Annales Fennici Mathematici, 49(2), 631–661. https://doi.org/10.54330/afm.152156