@article{763348, author = {Chazal, Frédéric, and De Silva, Vin, and Glisse, Marc, and Oudot, Steve Y.,}, url = {http://library.usi.edu/record/763348}, title = {The structure and stability of persistence modules /}, abstract = {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.}, recid = {763348}, pages = {1 online resource :}, }