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The Structure and Stability of Persistence Modules

The Structure and Stability of Persistence Modules

Paperback

Series: Springerbriefs in Mathematics

AlgebraGeneral Mathematics

ISBN10: 3319425439
ISBN13: 9783319425436
Publisher: Springer
Published: Oct 17 2016
Pages: 120
Weight: 0.43
Height: 0.28 Width: 6.14 Depth: 9.21
Language: English
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.

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General Mathematics