An Introduction to Random Currents and Their Applications

• Main Author: Capasso, Vincenzo (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Series: SpringerBriefs in Mathematics,
• Subjects: Measure theory.; Optical data processing.; Probabilities.; Measure and Integration.; Image Processing and Computer Vision.; Probability Theory and Stochastic Processes.

This book introduces random currents by presenting underlying mathematical methods necessary for applications. The theory of currents is an advanced topic in geometric measure theory that extends distribution to linear functionals within the space of differential forms of any order. Methods to exten...

Table of Contents:

• 1. Introduction and motivations
• 2. Differential forms
• 3.Currents - The deterministic case
• 4.Currents - The stochastic case
• 5.Applications
• Appendix
• References
• Glossary
• Index. .