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An introduction to random currents a...

Capasso, Vincenzo.

An introduction to random currents and their applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	An introduction to random currents and their applicationsby Vincenzo Capasso.
Author:	Capasso, Vincenzo.
Published:	Cham :Springer International Publishing :2018.
Description:	xiii, 143 p. :digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Stochastic processes.
Online resource:	http://dx.doi.org/10.1007/978-3-319-94577-4
ISBN:	9783319945774$q(electronic bk.)

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$q(electronic bk.)

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

181874
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 256446
245 1 3 $a An introduction to random currents and their applications $h [electronic resource] / $c by Vincenzo Capasso.
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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.
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650 2 4 $a Image Processing and Computer Vision. $3 274051
650 2 4 $a Probability Theory and Stochastic Processes. $3 274061
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