The Structure and Stability of Persistence Modules

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

120 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: SpringerBriefs in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Topologie Algebraische Topologie
• ISBN: 9783319425436
• Sprache: Englisch
• Erscheinungsdatum: 17.10.2016
• Größe: 23.5 x 15.5 cm
• Verlag: Springer International Publishing