Click Here to Download: https://ouo.io/S9IJV9 The Structure and Stability of Persistence Modules By: Frédéric Chazal; Vin de Silva; Marc Glisse; Steve Oudot Publisher: Springer Print ISBN: 9783319425436, 3319425439 eText ISBN: 9783319425450, 3319425455 Copyright year: 2016 Format: PDF Available from $ 69.99 USD SKU 9783319425450 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.
