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math.AT2019★ 3 cited
Rank-based persistence
Mattia G. Bergomi, Pietro Vertechi
Persistence has proved to be a valuable tool to analyze real world data robustly. Several approaches to persistence have been attempted over time, some topological in flavor, based…
math.AT2013
Modes in modern music from a topological viewpoint
Mattia G. Bergomi, Alessandro Portaluri
The aim of this paper is twofold: on one side we review the classical concept of musical mode from the viewpoint of modern music, reading it as a superimposition of a base-chord (s…