46 citations · 129 across the 17 of their papers we have counts for
5 papers · 1 filter
On the radial growth of ballistic aggregation and other aggregation models
Tillmann Bosch, Steffen Winter
For a class of aggregation models on the integer lattice , , in which clusters are formed by particles arriving one after the other and sticking irreversibly…
Almost sure convergence and second moments of geometric functionals of fractal percolation
Michael A. Klatt, Steffen Winter
We determine almost sure limits of rescaled intrinsic volumes of the construction steps of fractal percolation in for any dimension . We observe a factoriza…
Mean Lipschitz-Killing curvatures for homogeneous random fractals
Jan Rataj, Steffen Winter, Martina Zähle
Homogeneous random fractals form a probabilistic extension of self-similar sets with more dependencies than in random recursive constructions. For such random fractals we consider…
Geometric functionals of fractal percolation
Michael A. Klatt, Steffen Winter
Fractal percolation exhibits a dramatic topological phase transition, changing abruptly from a dust-like set to a system spanning cluster. The transition points are unknown and dif…
Lattice-type self-similar sets with pluriphase generators fail to be Minkowski measurable
Sabrina Kombrink, Erin P. J. Pearse, Steffen Winter
A long-standing conjecture of Lapidus claims that under certain conditions, self-similar fractal sets fail to be Minkowski measurable if and only if they are of lattice type. The t…