| Dewey Class |
514.2 |
| Title |
The Structure and Stability of Persistence Modules ([EBook]) / by Frédéric Chazal, Vin de Silva, Marc Glisse, Steve Oudot. |
| Author |
Chazal, Frédéric |
| Added Personal Name |
de Silva, Vin author. |
| Glisse, Marc author. |
| Oudot, Steve author. |
| Other name(s) |
SpringerLink (Online service) |
| Publication |
Cham : : Springer International Publishing : : Imprint: Springer, , 2016. |
| Physical Details |
X, 120 p. 17 illus., 15 illus. in color. : online resource. |
| Series |
SpringerBriefs in Mathematics 2191-8198 |
| ISBN |
9783319425450 |
| Summary Note |
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.: |
| Contents note |
Introduction -- Persistence Modules -- Rectangle Measures -- Interleaving -- The Isometry Theorem -- Variations -- References -- Index. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/978-3-319-42545-0 |
| Links to Related Works |
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