Fourier dimension of Mandelbrot cascades on planar curves
ABSTRACT
Mandelbrot cascades have been widely studied as a model for multifractal sets. In this talk, we consider Mandelbrot cascades supported on planar curves with nonvanishing curvature and show that the Fourier dimension of each cascade is equal to the infimum of the local dimensions. This is joint work with Ville Suomala.
