M. Lesnick

activity

20082025

most citedThe Theory of the Interleaving Distance on Multidimensional Persistence Modules

214 citations · 626 across the 16 of their papers we have counts for

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cs.CG2021

The Universal $ℓ^{p}$ -Metric on Merge Trees

Robert Cardona, Justin Curry, Tung Lam +1

Adapting a definition given by Bjerkevik and Lesnick for multiparameter persistence modules, we introduce an $ℓ^{p}$ -type extension of the interleaving distance on merge trees. We…

cs.CG2021★ 1 cited

Computing the Multicover Bifiltration

René Corbet, Michael Kerber, Michael Lesnick +1

Given a finite set $A \subset R^{d}$ , let Cov $_{r, k}$ denote the set of all points within distance $r$ to at least $k$ points of $A$ . Allowing $r$ and $k$ to vary, we obtain a…

cs.CG2011★ 214 cited

The Theory of the Interleaving Distance on Multidimensional Persistence Modules

Michael Lesnick

In 2009, Chazal et al. introduced $ε$ -interleavings of persistence modules. $ε$ -interleavings induce a pseudometric $d_{I}$ on (isomorphism classes of) persistence modules, the inter…

The Universal ℓp-Metric on Merge Trees

Computing the Multicover Bifiltration

The Theory of the Interleaving Distance on Multidimensional Persistence Modules

The Universal $ℓ^{p}$ -Metric on Merge Trees