ENGLISH

The Structure and Stability of Persistence Modules

By Frédéric Chazal , Vin De Silva , Marc Glisse , Steve Oudot (auth.)

Book information

Publisher
Springer International Publishing
Year
2016
ISBN
978-3-319-42543-6, 978-3-319-42545-0
DOI
10.1007/978-3-319-42545-0
Language
english
Format
PDF
Filesize
2 MB (2095774 bytes)
Series
SpringerBriefs in Mathematics
Edition
1
Pages
X, 120\123
Time added
2016-12-28 02:00:00
Algebraic Topology;Algebra;Mathematical Applicatio

Description

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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