4 citations · 4 across the 3 of their papers we have counts for
5 papers
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…
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…
Heat equation with a general stochastic measure on nested fractals
Vadym Radchenko, Martina Zähle
A stochastic heat equation on an unbounded nested fractal driven by a general stochastic measure is investigated. Existence, uniqueness and continuity of the mild solution are prov…
Lipschitz-Killing curvatures of self-similar random fractals
Martina Zähle
For a large class of self-similar random sets F in R^d geometric parameters C_k(F), k=0,...,d, are introduced. They arise as a.s. (average or essential) limits of the volume C_d(F(…
Curvature densities of self-similar sets
Jan Rataj, Martina Zähle
For a large class of self-similar sets F in R^d analogues of the higher order mean curvatures of differentiable submanifolds are introduced, in particular, the fractal Gauss-type c…