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The Structure and Stability of Persistence Modules. 1st ed. 2016.
・ISBN 978-3-319-42543-6 paper EUR 69.99
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お気に入り
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| 著者・編者 | Chazal, Frederic / de Silva, Vin / Glisse, Marc / Oudot, Steve, |
|---|---|
| シリーズ | SpringerBriefs in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2016 |
| ページ数 | 120 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-20610> |
解説
This book is a comprehensive treatment of the theory of persistence modules over the real line. It presents a set of mathematical tools to analyse the structure and to establish the stability of such modules, providing a sound mathematical framework for the study of persistence diagrams. Completely self-contained, this brief introduces the notion of persistence measure and makes extensive use of a new calculus of quiver representations to facilitate explicit computations.
Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.
Appealing to both beginners and experts in the subject, The Structure and Stability of Persistence Modules provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.