34 citations · 49 across the 20 of their papers we have counts for
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cs.CG2019★ 2 cited
Statistical Topology of Bond Networks with Applications to Silica
Benjamin Schweinhart, David Rodney, Jeremy Mason
Whereas knowledge of a crystalline material's unit cell is fundamental to understanding the material's properties and behavior, there are not obvious analogues to unit cells for di…
math.DS2019★ 34 cited
Fractal Dimension Estimation with Persistent Homology: A Comparative Study
Jonathan Jaquette, Benjamin Schweinhart
We propose that the recently defined persistent homology dimensions are a practical tool for fractal dimension estimation of point samples. We implement an algorithm to estimate th…