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The Structure and Stability of Persistence Modules

The Structure and Stability of Persistence Modules

by Marc GlisseVin de Silva Frederic Chazal and others
Paperback
Publication Date: 10/09/2016

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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.
ISBN:
9783319425436
9783319425436
Category:
Algebra
Format:
Paperback
Publication Date:
10-09-2016
Publisher:
Springer International Publishing AG
Country of origin:
Switzerland
Pages:
120
Dimensions (mm):
235x155x7mm
Weight:
2.12kg

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