Microcanonical cascades and random homeomorphisms
arXiv:2505.16405
Abstract
We give a complete solution to the Mandelbrot-Kahane problem for the microcanonical cascade measures by determing their exact Fourier dimensions. We also discuss the Frostman regularity as well as the bi-Hölder continuity of the Dubins-Freedman random homeomorphisms.
28 pages, a few misprints are corrected