The Mandelbrot–Kahane problem of Benoît Mandelbrot model of turbulence

The purpose of this paper is to announce our solution to the Mandelbrot–Kahane problem (Mandelbrot, 1976 and Kahane, 1993) of determining the Fourier dimension of the Mandelbrot canonical cascade measure (MCCM). Specifically, we obtain the exact formula for the Fourier dimension of the MCCM with ran...

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Bibliographic Details
Main Authors: Chen, Xinxin, Han, Yong, Qiu, Yanqi, Wang, Zipeng
Format: Article
Language:English
Published: Académie des sciences 2025-03-01
Series:Comptes Rendus. Mathématique
Subjects:
Online Access:https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.697/
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