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Random tessellations marked with crystallographic orientations

Publikace na Matematicko-fyzikální fakulta |
2020

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

We consider a random marked tessellation in which the marks are crystal lattice orientations. We construct a statistical test to decide whether the orientations are independently assigned to the cells of the underlying tessellation.

Using simulations, power computations are conducted for alternative models with different forms of mark correlation. We demonstrate the application in the analysis of polycrystalline materials with cubic symmetry of the crystal lattice.