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The Structure and Stability of Persistence Modules

The Structure and Stability of Persistence Modules - SpringerBriefs in Mathematics

Paperback (17 Oct 2016)

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Publisher's 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 information

ISBN: 9783319425436
Publisher: Springer International Publishing
Imprint: Springer
Pub date:
DEWEY: 514.2
DEWEY edition: 23
Language: English
Number of pages: 120
Weight: 2117g
Height: 235mm
Width: 155mm
Spine width: 7mm