%0 eBook
%M Solr-EB001266159
%A Chazal, Frédéric
%I Springer International Publishing
%D 2016
%C Cham
%G English
%B SpringerBriefs in Mathematics
%@ 9783319425450
%T The Structure and Stability of Persistence Modules
%U https://doi.org/10.1007/978-3-319-42545-0?nosfx=y
%7 1st ed. 2016
%X 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