The Structure and Stability of Persistence Modules

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The Structure and Stability of Persistence Modules

CHAZAL, Frédéric - Personal Name; SILVA, Vin de - Personal Name; GLISSE, Marc - Personal Name; OUDOT, Steve - Personal Name;

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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Series Title: -
Call Number: -
Publisher: : ., 2016
Collation: -
Language: English
ISBN/ISSN: 978-3-319-42545-0
Classification: NONE
Content Type: -
Media Type: computer
Carrier Type: online resource
Edition: -
Subject(s): ALGEBRA
Algebraic Topology
Mathematical Applications in Computer Science
Specific Detail Info: -
Statement of Responsibility: Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot

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Cataloger: Yd
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