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math.PR2024★ 1 cited
Fourier dimension of Mandelbrot multiplicative cascades
Changhao Chen, Bing Li, Ville Suomala
We investigate the Fourier dimension, , of Mandelbrot multiplicative cascade measures on the -dimensional unit cube. We show that if is the cascade measure gene…
math.DS2024
Multifractal analysis for the pointwise Assouad dimension of self-similar measures
Roope Anttila, Ville Suomala
We quantify the pointwise doubling properties of self-similar measures using the notion of pointwise Assouad dimension. We show that all self-similar measures satisfying the open s…