MISC

招待有り
2018年1月15日

Persistent homology and materials informatics

Nanoinformatics
  • Mickaël Buchet
  • ,
  • Yasuaki Hiraoka
  • ,
  • Ippei Obayashi

開始ページ
75
終了ページ
95
記述言語
英語
掲載種別
記事・総説・解説・論説等(学術雑誌)
DOI
10.1007/978-981-10-7617-6_5
出版者・発行元
Springer Singapore

This paper provides an introduction to persistent homology and a survey of its applications to materials science. Mathematical prerequisites are limited to elementary linear algebra. Important concepts in topological data analysis such as persistent homology and persistence diagram are explained in a selfcontained manner with several examples. These tools are applied to glass structural analysis, crystallization of granular systems, and craze formation of polymers.

リンク情報
DOI
https://doi.org/10.1007/978-981-10-7617-6_5
URL
http://orcid.org/0000-0002-7207-7280

エクスポート
BibTeX RIS