A. Kaenmaki

activity

20102026

most citedOn natural invariant measures on generalised iterated function systems

68 citations · 315 across the 32 of their papers we have counts for

collaborators

Showing 2025Show all

2 papers · 1 filter

math.CA2025

Level sets of prevalent Weierstrass functions

Zoltán Buczolich, Antti Käenmäki, Balázs Maga

The $α$ -Weierstrass function is defined as $W_{g}^{α, b} (x) = \sum_{k = 0}^{\infty} b^{- α k} g (b^{k} x)$ , where $g$ is a Lipschitz function on the unit circle. For a prevalent $α$ -Weierstr…

math.DS2025

Self-affine sponges with random contractions

Balázs Bárány, Antti Käenmäki, Michał Rams

We compute the almost sure Hausdorff dimension of random self-affine sponges in $R^{d}$ without imposing any separation conditions. In this context, randomness arises from t…