2 papers
math.AT2025
Fast free resolutions of bifiltered chain complexes
Ulrich Bauer, Tamal K. Dey, Michael Kerber +2
In a -critical bifiltration, every simplex enters along a staircase with at most steps. Examples with include degree-Rips bifiltrations and models of the multicover bi…
cs.CG2023
The Localized Union-of-Balls Bifiltration
Michael Kerber, Matthias Söls
We propose an extension of the classical union-of-balls filtration of persistent homology: fixing a point , we focus our attention to a ball centered at whose radius is cont…