45 citations · 163 across the 16 of their papers we have counts for
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math.AT2016★ 14 cited
Parametrized Homology via Zigzag Persistence
Gunnar Carlsson, Vin de Silva, Sara Kalisnik +1
This paper develops the idea of homology for 1-parameter families of topological spaces. We express parametrized homology as a collection of real intervals with each corresponding…
math.AT2016★ 45 cited
Tropical Coordinates on the Space of Persistence Barcodes
Sara Kalisnik Verovsek
The aim of applied topology is to use and develop topological methods for applied mathematics, science and engineering. One of the main tools is persistent homology, an adaptation…