1 citations · 1 across the 6 of their papers we have counts for
6 papers
On perturbations that preserve the connectivity properties in tree percolations
Mirmukhsin Makhmudov, Ville Suomala
We consider a general bond percolation on an infinite locally finite tree, where the edge retention probabilities are replaced by , where $\{q_n\}_{n\ge…
Fourier dimension of Mandelbrot cascades on planar curves
Donggeun Ryou, Ville Suomala
We consider multifractal Mandelbrot cascades supported on planar curves with nonvanishing curvature and show that their Fourier dimension is as large as possible, i.e., equal…
Sharp Favard length of random Cantor sets
Alan Chang, Pablo Shmerkin, Ville Suomala
We show that for a large class of planar -dimensional random fractals , the Favard length of the neighborhood is comparable to $\log^{-1}(1/…
The largest slice of fractal percolation
Pablo Shmerkin, Ville Suomala
For each , we determine the dimensional threshold for planar fractal percolation to contain collinear points. In the critical case of dimension , the largest linear…
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…
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…