Johann Radon Institute for Computational and Applied Mathematics

Diagonally symmetric alternating sign matrices

The enumeration of diagonally symmetric alternating sign matrices (DSASMs) is studied, and a Pfaffian formula is obtained for the number of DSASMs of any fixed size, where the entries for the Pfaffian are positive integers given by simple binomial coefficient expressions. This re...

Robust topology optimization of electric machines using topological derivatives

Abstract Designing high-performance electric machines that maintain their efficiency and reliability under uncertain material and operating conditions is crucial for industrial applications. In this paper, we present a novel framework for robust topology optimization with partial...

A Workflow for the Identification of Oligomeric Structures on Tilted Sample Planes in Cryo-SMLM

We introduce a workflow to identify oligomeric structures that are recorded with single-molecule localization microscopy (SMLM) under cryogenic conditions. Typically, these oligomers are assumed to consist of protomers arranged as equilateral two-dimensional polygons and every pr...