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portada The Structure and Stability of Persistence Modules (Springerbriefs in Mathematics)
Type
Physical Book
Publisher
Year
2016
Language
English
Pages
120
Format
Paperback
ISBN13
9783319425436
Edition No.
1
Categories

The Structure and Stability of Persistence Modules (Springerbriefs in Mathematics)

Frédéric Chazal; Vin De Silva; Marc Glisse (Author) · Springer · Paperback

The Structure and Stability of Persistence Modules (Springerbriefs in Mathematics) - Frédéric Chazal; Vin De Silva; Marc Glisse

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Synopsis "The Structure and Stability of Persistence Modules (Springerbriefs in Mathematics)"

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.

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