Diff. Geom, Math. Phys., PDE Seminar: Quentin Mérigot

  • Date: 10/23/2012
  • Time: 15:30
Quentin Mérigot, CNRS and Université Joseph Fourier

University of British Columbia


Non-differentiability locus of distance functions and Federer's curvature measures


I will present an upper bound on the (d-1)-volume and covering numbers of a filtration of the non-differentiability locus of the distance function of a compact set in R^d. A consequence of this upper bound is that the projection function to a compact subset K depends in a Hoelder way on the compact set, in the L^1 sense. This in turn implies that Federer's curvature measure of a compact set with positive reach can be reliably estimated from a Hausdorff approximation of this set, regardless of any regularity assumption on the approximation.

Other Information: 

Location: ESB 2012