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The Structure and Stability of Persistence Modules

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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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Call Number

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Publisher

The Author : Springer Cham., 2016

Collation

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Language

English

ISBN/ISSN

978-3-319-42545-0

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Subject(s)

ALGEBRA
Algebraic Topology
Mathematical Applications in Computer Science

Specific Detail Info

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Statement of Responsibility

Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot

Other Information

Cataloger

Yudi

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Digital Object Identifier (DOI)

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