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math.AT2020
Persistence and Stability of the Quiver
Killian Meehan, David C. Meyer
We introduce two new distances for zigzag persistence modules. The first uses Auslander-Reiten quiver theory, and the second is an extension of the classical interleaving distance.…
math.AT2017★ 2 cited
Interleaving Distance as a Limit
Killian Meehan, David Meyer
Persistent homology is a way of determining the topological properties of a data set. It is well known that each persistence module admits the structure of a representation of a fi…
math.AT2017★ 6 cited
An Isometry Theorem for Generalized Persistence Modules
Killian Meehan, David Meyer
In recent work, generalized persistence modules have proved useful in distinguishing noise from the legitimate topological features of a data set. Algebraically, generalized persis…