2 papers
math.DS2026
Self-affine sponges with random contractions
Balázs Bárány, Antti Käenmäki, MichaŠRams
We compute the almost sure Hausdorff dimension of random self-affine sponges in without imposing any separation conditions. In this context, randomness arises from t…
math.DS2025
Smoothness of random self-similar measures on the line and the existence of interior points
Balázs Bárány, MichaŠRams
In this paper, we study the smoothness of the density function of absolutely continuous measures supported on random self-similar sets on the line. We show that the natural project…