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The Structure and Stability of Persistence Modules

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Structure and Stability of Persistence Modules/ by Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot.
作者:	Chazal, Frédéric.
其他作者:	de Silva, Vin.
面頁冊數:	X, 120 p. 17 illus., 15 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebraic topology. -
電子資源:	https://doi.org/10.1007/978-3-319-42545-0
ISBN:	9783319425450

The Structure and Stability of Persistence Modules
Chazal, Frédéric.

The Structure and Stability of Persistence Modules[electronic resource] /by Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot. - 1st ed. 2016. - X, 120 p. 17 illus., 15 illus. in color.online resource. - 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

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

678206
Algebraic topology.

LC Class. No.: QA612-612.8

Dewey Class. No.: 514.2

The Structure and Stability of Persistence Modules
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