Ville Suomala

activity

20242026

most citedFourier dimension of Mandelbrot multiplicative cascades

1 citations · 1 across the 6 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

math.CA2025

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.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…