The Structure and Stability of Persistence Modules

• Main Authors: Chazal, Frédéric (Author), de Silva, Vin (Author), Glisse, Marc (Author), Oudot, Steve (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Algebra.; Computer science > Mathematics.; Computer mathematics.; Algebraic topology.; Algebraic Topology.; Mathematical Applications in Computer Science.

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...

Table of Contents:

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