4 citations · 5 across the 4 of their papers we have counts for
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math.AT2022
A Lattice-Theoretic Perspective on the Persistence Map
Brendan Mallery, Adélie Garin, Justin Curry
We provide a naturally isomorphic description of the persistence map from merge trees to barcodes in terms of a monotone map from the partition lattice to the subset lattice. Our d…
math.GR2022
Houghton-like groups from "shift-similar" groups
Brendan Mallery, Matthew C. B. Zaremsky
We introduce and study \emph{shift-similar} groups , which play an analogous role in the world of Houghton groups that self-similar groups play in the…