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Structure and Stability of Persistence Modules (Paperback) (Fru00e9du00e9ric Chazal)
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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.
Series Title: Springerbriefs in Mathematics
Publisher: Springer Verlag
Author: Fru00e9du00e9ric Chazal
Street Date: October 3, 2016
Item Number (DPCI): 248-33-1987