155 citations · 542 across the 36 of their papers we have counts for
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math.AT2015★ 83 cited
Analysis of Kolmogorov Flow and Rayleigh-Bénard Convection using Persistent Homology
Miroslav Kramar, Rachel Levanger, Jeffrey Tithof +5
We use persistent homology to build a quantitative understanding of large complex systems that are driven far-from-equilibrium; in particular, we analyze image time series of flow…
math.AT2015★ 6 cited
Topological Signals of Singularities in Ricci Flow
Paul M. Alsing, Howard A. Blair, Matthew Corne +4
We implement methods from computational homology to obtain a topological signal of singularity formation in a selection of geometries evolved numerically by Ricci flow. Our approac…