46 citations · 129 across the 17 of their papers we have counts for
21 papers
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…
Quantification of fracture roughness by change probabilities and Hurst exponents
Tim Gutjahr, Sina Hale, Karsten Keller +2
The objective of the current study is to utilize an innovative method called 'change probabilities' for describing fracture roughness. In order to detect and visualize anisotropy o…
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…
Characterizing digital microstructures by the Minkowski-based quadratic normal tensor
Felix Ernesti, Matti Schneider, Steffen Winter +3
For material modeling of microstructured media, an accurate characterization of the underlying microstructure is indispensable. Mathematically speaking, the overall goal of microst…
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…