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An introduction to random currents a...

Capasso, Vincenzo.

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An introduction to random currents and their applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to random currents and their applications/ by Vincenzo Capasso.
Author:	Capasso, Vincenzo.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xiii, 143 p. :digital ;24 cm.
[NT 15003449]:	1. Introduction and motivations -- 2. Differential forms -- 3.Currents - The deterministic case -- 4.Currents - The stochastic case -- 5.Applications -- Appendix -- References -- Glossary -- Index.
Contained By:	Springer eBooks
Subject:	Stochastic processes. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-94577-4
ISBN:	9783319945774

An introduction to random currents and their applications
Capasso, Vincenzo.

An introduction to random currents and their applications[electronic resource] /by Vincenzo Capasso. - Cham :Springer International Publishing :2018. - xiii, 143 p. :digital ;24 cm. - SpringerBriefs in mathematics,2191-8198. - SpringerBriefs in mathematics..

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

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.

ISBN: 9783319945774

Standard No.: 10.1007/978-3-319-94577-4doiSubjects--Topical Terms:

520663
Stochastic processes.

LC Class. No.: QA274 / .C373 2018

Dewey Class. No.: 519.2

An introduction to random currents and their applications
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100 1 $a Capasso, Vincenzo. $3 891088
245 1 3 $a An introduction to random currents and their applications $h [electronic resource] / $c by Vincenzo Capasso.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2018.
300 $a xiii, 143 p. : $b digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematics, $x 2191-8198
505 0 $a 1. Introduction and motivations -- 2. Differential forms -- 3.Currents - The deterministic case -- 4.Currents - The stochastic case -- 5.Applications -- Appendix -- References -- Glossary -- Index.
520 $a 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.
650 0 $a Stochastic processes. $3 520663
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Measure and Integration. $3 891263
650 2 4 $a Image Processing and Computer Vision. $3 891070
650 2 4 $a Probability Theory and Stochastic Processes. $3 891080
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a SpringerBriefs in mathematics. $3 1566700
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-94577-4
950 $a Mathematics and Statistics (Springer-11649)