Quantifying Besicovitch projection theorem


Besicovitch projection theorem is one of the fundamental results of geometric measure theory, and it states that a set of finite length is purely unrectifiable (i.e., its intersection with every rectifiable curve has length 0) if and only if almost every orthogonal projection of this set has length 0. In this talk I will present recent attempts at quantifying this result.

02 Oct 2023 13:30
Universitat Autònoma de Barcelona
Damian Dąbrowski
Damian Dąbrowski
Postdoc in mathematics

My research interests include geometric measure theory and harmonic analysis.