An Introduction to Random Currents and Their Applications
Springer International Publishing (Verlag)
978-3-319-94576-7 (ISBN)
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 extend random distributions to random currents are introduced and analyzed in this book. Beginning with an overview of mathematical aspects of the theory of currents, this book moves on to examine applications in medicine, material science, and image analysis. Applied researchers will find the practical modern mathematical methods along with the detailed appendix useful to stimulate new applications and research.
1. Introduction and motivations.- 2. Differential forms.- 3.Currents - The deterministic case.- 4.Currents - The stochastic case.- 5.Applications.- Appendix.- References.- Glossary.- Index.
"The book will be useful to mathematicians and applied scientists." (Jordan M. Stoyanov, zbMATH 1426.28001, 2020)
“The book will be useful to mathematicians and applied scientists.” (Jordan M. Stoyanov, zbMATH 1426.28001, 2020)
| Erscheinungsdatum | 16.08.2018 |
|---|---|
| Reihe/Serie | SpringerBriefs in Mathematics |
| Zusatzinfo | XIII, 143 p. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 254 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Schlagworte | Boundary, and Lie derivative of a current • Crystal dislocations • Crystal dislocations • Elements of measure theory • Fundamentals of Stochastic Processes • Gaussian currents • Gaussian currents in statistical shape analysis • geometric measure theory • linear functionals • Operations on currents • Push-forward of a current • Random currents on Hilbert spaces • statistical shape analysis • stochastic geometry • Stochastic Geometry • theory of currents • Tumor-driven angiogenesis |
| ISBN-10 | 3-319-94576-9 / 3319945769 |
| ISBN-13 | 978-3-319-94576-7 / 9783319945767 |
| Zustand | Neuware |
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