Almost surely, the Fourier dimension of a Mandelbrot microcanonical cascade measure equals log_2(1/(E[W0^2]+E[W1^2])), settling the Mandelbrot-Kahane problem for this class.
Convergence of complex multiplicative cascades
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Microcanonical cascades and random homeomorphisms
Almost surely, the Fourier dimension of a Mandelbrot microcanonical cascade measure equals log_2(1/(E[W0^2]+E[W1^2])), settling the Mandelbrot-Kahane problem for this class.