Microcanonical cascades and random homeomorphisms
Probability
2025-06-17 v2 Functional Analysis
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-H\"older continuity of the Dubins-Freedman random homeomorphisms.
Cite
@article{arxiv.2505.16405,
title = {Microcanonical cascades and random homeomorphisms},
author = {Xinxin Chen and Yong Han and Yanqi Qiu and Zipeng Wang},
journal= {arXiv preprint arXiv:2505.16405},
year = {2025}
}
Comments
28 pages, a few misprints are corrected