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The structure and stability of persi...

Chazal, Frederic.

The structure and stability of persistence modules

Record Type:	Electronic resources : Monograph/item
Title/Author:	The structure and stability of persistence modulesby Frederic Chazal ... [et al.].
other author:	Chazal, Frederic.
Published:	Cham :Springer International Publishing :2016.
Description:	x, 120 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Modules (Algebra)
Online resource:	http://dx.doi.org/10.1007/978-3-319-42545-0
ISBN:	9783319425450$q(electronic bk.)

The structure and stability of persistence modules
The structure and stability of persistence modules[electronic resource] /by Frederic Chazal ... [et al.]. - Cham :Springer International Publishing :2016. - x, 120 p. :ill., digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

Introduction -- Persistence Modules -- Rectangle Measures -- Interleaving -- The Isometry Theorem -- Variations -- References -- Index.

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: 9783319425450$q(electronic bk.)

Standard No.: 10.1007/978-3-319-42545-0doiSubjects--Topical Terms:

190875
Modules (Algebra)

LC Class. No.: QA247

Dewey Class. No.: 512.42

The structure and stability of persistence modules
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245 0 4 $a The structure and stability of persistence modules $h [electronic resource] / $c by Frederic Chazal ... [et al.].
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505 0 $a Introduction -- Persistence Modules -- Rectangle Measures -- Interleaving -- The Isometry Theorem -- Variations -- References -- Index.
520 $a 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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