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The Structure and Stability of Persistence Modules by Frederic Chazal
The Structure and Stability of Persistence Modules by Frederic Chazal
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The Structure and Stability of Persistence Modules

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Description

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.
Release date Australia
October 17th, 2016
Audience
  • Professional & Vocational
Edition
1st ed. 2016
Illustrations
15 Illustrations, color; 2 Illustrations, black and white; X, 120 p. 17 illus., 15 illus. in color.
Pages
120
Dimensions
155x235x7
ISBN-13
9783319425436
Product ID
25447528

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