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The Structure and Stability of Persistence Modules

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概要 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.続きを見る
目次 Introduction
Persistence Modules
Rectangle Measures
Interleaving
The Isometry Theorem
Variations
References
Index.
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本文を見る Full text available from Springer Mathematics and Statistics eBooks 2016 English/International

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登録日 2020.06.27
更新日 2020.06.28