25 citations · 43 across the 9 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.AT2022★ 2 cited
One Diamond to Rule Them All: Old and new topics about zigzag, levelsets and extended persistence
Nicolas Berkouk, Luca Nyckees
Extended and zigzag persistence were introduced more than ten years ago, as generalizations of ordinary persistence. While overcoming certain limitations of ordinary persistence, t…
math.AT2022
Persistence and the Sheaf-Function Correspondence
Nicolas Berkouk
The sheaf-function correspondence identifies the group of constructible functions on a real analytic manifold with the Grothendieck group of constructible sheaves on . When…
math.AT2022★ 2 cited
Projected distances for multi-parameter persistence modules
Nicolas Berkouk, Francois Petit
Relying on sheaf theory, we introduce the notions of projected barcodes and projected distances for multi-parameter persistence modules. Projected barcodes are defined as derived p…