The Structure and Stability of Persistence Modules
Overview
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.
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Details
- ISBN-13: 9783319425436
- ISBN-10: 3319425439
- Publisher: Springer
- Publish Date: October 2016
- Dimensions: 9.21 x 6.14 x 0.28 inches
- Shipping Weight: 0.43 pounds
- Page Count: 120
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