UBC Harmonic Analysis and Fractal Geometry: Benjamin Bruce

  • Date: 10/25/2022
  • Time: 10:00
Benjamin Bruce, UBC

University of British Columbia


Two-point patterns determined by curves


Given a smooth function Φ:ℝ→ℝd, we ask whether every Borel subset of ℝd with sufficiently high Hausdorff dimension contains a pair of the form {x,x+Φ(t)} with Φ(t)≠0. We prove that a large class of `curved” functions have this property while certain ``flat” functions do not. This is joint work with Malabika Pramanik.

Other Information: 

Location: Hybrid

In-person: ESB 4133 (PIMS Lounge)

Online: Please contact Caleb Marshall for Zoom information 


More details listed here.