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math.AT2024
The persistent Laplacian of non-branching complexes
Magnus Bakke Botnan, Rui Dong
Non-branching matrices are real matrices with entries in , where each row contains at most two non-zero entries. Such matrices naturally arise in the study of Laplacian…
cs.CG2024
Computing -presentation distances is hard
Håvard Bakke Bjerkevik, Magnus Bakke Botnan
Recently, -presentation distances for were introduced for merge trees and multiparameter persistence modules as more sensitive variations of the respective int…