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Structure and Stability of Persistence Modules, Paperback by Chazal, Frédéric; De Silva, Vin; Glisse, Marc; Oudot, Steve, ISBN 3319425439, ISBN-13 9783319425436, Like New Used, Free shipping in the US
<div>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.</div><div><br></div><div>Appealing to both beginners and experts in the subject, <i>The Structure and Stability of Persistence Modules</i> provides a purely algebraic presentation of persistence, and thus complements the existing literature, which focuses mainly on topological and algorithmic aspects.</div>
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