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Book synopsis

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.

Book details

Book category Knihy po anglicky Mathematics & science Mathematics Applied mathematics

• Full title: Structure and Stability of Persistence Modules
• Author: Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot
• Language: English
• Binding: Paperback
• Number of pages: 120
• EAN: 9783319425436
• ISBN: 3319425439
• ID: 12821368
• Publisher: Springer International Publishing AG
• Weight: 2117 g
• Dimensions: 234 × 156 × 8 mm
• Date of publishing: 09. October 2016

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