Abel Jansma
In a recent paper, I proposed to study complex systems through a mereological lens by applying the Möbius inversion theorem. I also covered this in a recent blogpost. Here, I will collect some of the most important applications of Möbius transformations in the sciences. I will update this table as...
Abel Jansma
UPDATE: I have now found an explicit formula for the Möbius function on the redundancy lattice. This will appear in a preprint soon. I calculated the full Möbius function on the lattice of powerset antichains of 2, 3, and 4 variables. As far as I can tell, these results have not been shared...
Abel Jansma
In my PhD thesis, I developed a method and software package to infer interactions and cell states from gene expression data. Both the software and the research are now published! The software is called Stator, and comprises the Stator Nextflow pipeline, as well as a bespoke Shiny app developed by...