Could Brownian motion describe perimeter in a fractal?
Could Brownian motion describe perimeter in a fractal?
Brownian motion speaks analysis and geometry in a beautiful connection with bounded variation (BV) measures and the perimeter of sets. In this talk we will review that relation in the Euclidean setting through the work of Cacciopoli, de Giorgi and Ledoux, and from there move to more general metric measure spaces. Moving beyond the Euclidean […]