214 citations · 626 across the 16 of their papers we have counts for
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math.AT2018
Exact computation of the matching distance on 2-parameter persistence modules
Michael Kerber, Michael Lesnick, Steve Oudot
The matching distance is a pseudometric on multi-parameter persistence modules, defined in terms of the weighted bottleneck distance on the restriction of the modules to affine lin…
math.AT2018
Quantifying Genetic Innovation: Mathematical Foundations for the Topological Study of Reticulate Evolution
Michael Lesnick, Raúl Rabadán, Daniel I. S. Rosenbloom
A topological approach to the study of genetic recombination, based on persistent homology, was introduced by Chan, Carlsson, and Rabadán in 2013. This associates a sequence of sig…