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Detecting micro fractures: A comprehensive comparison of conventional and machine-learning based segmentation methods
The segmentation results from all five methods are compared to each other in terms of segmentation quality and time efficiency.
The $N$-clock model: Variational analysis for fast and slow divergence rates of $N$
We find a fast rate of divergence of $N$ with respect to the lattice spacing for which the $N$-clock model has the same discrete-to-continuum variational limit of the $XY$ model, in particular concentrating energy on topological defects of dimension 0.
Mathematical Physics Analysis of PDEs Mathematical Physics 49J45, 49Q15, 26B30, 82B20
