6 citations · 8 across the 7 of their papers we have counts for
7 papers
Tracking the variety of interleavings
Ojaswi Acharya, Stella Li, David Meyer +1
In topological data analysis persistence modules are used to distinguish the legitimate topological features of a finite data set from noise. Interleavings between persistence modu…
Universal deformation rings of modules for generalized Brauer tree algebras of polynomial growth
David C. Meyer, Roberto C. Soto, Daniel J. Wackwitz
Let be an arbitrary field, be a -algebra and be a -module. When it exists, the universal deformation ring of is a -algebra whose local homomorphis…
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.…
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…
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…
Universal deformation rings for extensions of finite subgoups of
David C. Meyer
In this paper we expand on previous results, studying the extent to which one can detect fusion in certain finite groups , from information about the universal deformation rings…