The Structure and Stability of Persistence Modules

The Structure and Stability of Persistence Modules

Frédéric Chazal / Marc Glisse / Vin de Silva

86,55 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2016
ISBN:
9783319425436
86,55 €
IVA incluido
Disponible

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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.

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