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.
- ISBN:
- 9783319425436
- 9783319425436
-
Category:
- Algebra
- Format:
- Paperback
- Publication Date:
-
10-09-2016
- Publisher:
- Springer International Publishing AG
- Country of origin:
- Switzerland
- Pages:
- 120
- Dimensions (mm):
- 235x155x7mm
- Weight:
- 2.12kg
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