87 citations · 317 across the 22 of their papers we have counts for
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math.AT2021★ 14 cited
On the stability of multigraded Betti numbers and Hilbert functions
Steve Oudot, Luis Scoccola
Multigraded Betti numbers are one of the simplest invariants of multiparameter persistence modules. This invariant is useful in theory -- it completely determines the Hilbert funct…
math.AT2021
Signed Barcodes for Multi-Parameter Persistence via Rank Decompositions and Rank-Exact Resolutions
Magnus Bakke Botnan, Steffen Oppermann, Steve Oudot
In this paper, we introduce the signed barcode, a new visual representation of the global structure of the rank invariant of a multi-parameter persistence module or, more generally…