Volker Schmidt

TL;DR: In this article, a pluri-Gaussian model for three-phase microstructures is presented and relationships between model parameters and microstructure characteristics are discussed, in particular, analytical formulas for two-point coverage probability functions in terms of covariance functions of the underlying Gaussian random fields are considered, which allow for an efficient estimation of model parameters.

TL;DR: In this article, the authors consider stationary and ergodic tessellations X = { n }n> in Rd, where X is observed in a bounded and convex sampling window W, C IRd, and study the asymptotic behaviour of a multivariate random functional, which is determined both by X and by the individual cell structures contained in W, f Rd.

TL;DR: In this paper, two different two-layer cathodes are analyzed and compared to single layer cathodes of the same thickness, and the analysis involved tomographic imaging, a statistical analysis of the 3D microstructure of the active material particle systems with a focus on the interface between the layers, and electrochemical characterization of active material systems using experimental measurements as well as electrochemical simulations.

TL;DR: An algorithm for the simulation of the typical cell of the modulated Poisson-Voronoi tessellation, intended as models for telecommunication networks on a nationwide scale, is introduced and the mean distance from a randomly chosen location to its nearest Voronoi cell nucleus is shown.