3 papers
math.AP2025
Fractal curvatures and short-time asymptotics of heat content
Anna Rozanova-Pierrat, Alexander Teplyaev, Steffen Winter +1
The aim of our paper is twofold. First, we present new mathematical developments on the analysis of de Gennes' hypothesis on the short-time asymptotics of the heat content for boun…
math.PR2025
Mean Minkowski content and mean fractal curvatures of random self-similar code tree fractals
Jan Rataj, Steffen Winter, Martina Zähle
We consider a class of random self-similar fractals based on code trees which includes random recursive, homogeneous and V-variable fractals and many more. For such random fractals…
math.MG2024
On volume and surface area of parallel sets. II. Surface measures and (non-)differentiability of the volume
Jan Rataj, Steffen Winter
We prove that at differentiability points of the volume function of a compact set (associating to the volume of the -parallel set of ), t…