株式会社極東書店トップ商品一覧The Structure and Stability of Persistence Modules. 1st ed. 2016.

商品詳細

The Structure and Stability of Persistence Modules.

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
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.