The Structure and Stability of Persistence Modules (9783319425436)

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.

Product details

• Format Paperback | 120 pages
• Dimensions 155 x 235 x 7.11mm | 2,117g
• Publication date 17 Oct 2016
• Publisher Springer International Publishing AG
• Publication City/Country Cham, Switzerland
• Language English
• Edition Statement 1st ed. 2016
• Illustrations note 14 Tables, color; 15 Illustrations, color; 2 Illustrations, black and white; X, 120 p. 17 illus., 15 illus. in color.
• ISBN10 3319425439
• ISBN13 9783319425436
• Bestsellers rank 3,709,013

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