419 citations · 790 across the 8 of their papers we have counts for
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cond-mat.soft2015★ 1 cited
Persistent Homology and Many-Body Atomic Structure for Medium-Range Order in the Glass
Takenobu Nakamura, Yasuaki Hiraoka, Akihiko Hirata +2
Characterization of medium-range order in amorphous materials and its relation to short-range order is discussed. A new topological approach is presented here to extract a hierarch…
cond-mat.soft2015★ 419 cited
Hierarchical structures of amorphous solids characterized by persistent homology
Yasuaki Hiraoka, Takenobu Nakamura, Akihiko Hirata +3
This article proposes a topological method that extracts hierarchical structures of various amorphous solids. The method is based on the persistence diagram (PD), a mathematical to…