Ville Suomala

collaborators

5 papers

math.PR2026

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 $p_{e}$ are replaced by $min {1, q_{∣ e ∣} p_{e}}$ , where $\{q_n\}_{n\ge…

math.CA2026

Sharp Favard length of random Cantor sets

Alan Chang, Pablo Shmerkin, Ville Suomala

We show that for a large class of planar $1$ -dimensional random fractals $S$ , the Favard length $Fav (S (r))$ of the neighborhood $S (r)$ is comparable to $\log^{-1}(1/…

math.PR2026

Fourier dimension of Mandelbrot cascades on planar curves

Donggeun Ryou, Ville Suomala

We consider multifractal Mandelbrot cascades supported on planar $C^{2}$ curves with nonvanishing curvature and show that their Fourier dimension is as large as possible, i.e., equal…

math.PR2025

Fourier dimension of Mandelbrot multiplicative cascades

Changhao Chen, Bing Li, Ville Suomala

We investigate the Fourier dimension, $dim_{F} I^¼$ , of Mandelbrot multiplicative cascade measures $I^¼$ on the $d$ -dimensional unit cube. We show that if $I^¼$ is the cascade measure g…

math.PR2025

The largest slice of fractal percolation

Pablo Shmerkin, Ville Suomala

For each $k \geq 3$ , we determine the dimensional threshold for planar fractal percolation to contain $k$ collinear points. In the critical case of dimension $1$ , the largest linear…