3 papers
math.PR2026
Canonical Mandelbrot Cascades on Curves Are Rajchman
Yin Cai, Guozheng Cheng, Xiang Fang +3
We settle the Rajchman problem for canonical scalar dyadic Mandelbrot cascades at the minimal Kahane--Peyrière integrability threshold. If is the cascade on , then $\w…
math.PR2026
Exact Fourier dimensions of dyadic Mandelbrot cascades on curves of nonvanishing curvature under minimal integrability
Yin Cai, Xiang Fang, Hongdou Qu
The paper derives exact formulas for the Fourier dimension of scalar dyadic Mandelbrot cascade measures after they are pushed forward onto smooth nondegenerate arcs or Jordan curve…
math.PR2026
Exact Fourier dimensions of dyadic Mandelbrot cascades under minimal integrability
Yin Cai, Guozheng Cheng, Xiang Fang +3
We determine the Fourier dimension of dyadic Mandelbrot cascades under the minimal Kahane-Peyriere integrability condition. The interval theorem is proved in a vector-valued dyadic…