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arXiv · 2505.16405

Microcanonical cascades and random homeomorphisms

Xinxin Chen·Yong Han·Yanqi Qiu·Zipeng Wang
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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.

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Xinxin Chen, Yong Han, Yanqi Qiu, Zipeng Wang. 2025-05-22. Microcanonical cascades and random homeomorphisms. https://arxiv.org/abs/2505.16405

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