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An introduction to random currents a...

Capasso, Vincenzo.

An introduction to random currents and their applications

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	An introduction to random currents and their applications/ by Vincenzo Capasso.
作者:	Capasso, Vincenzo.
出版者:	Cham :Springer International Publishing : : 2018.,
面頁冊數:	xiii, 143 p. :digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Stochastic processes. -
電子資源:	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:

528256
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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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 670819
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950 $a Mathematics and Statistics (Springer-11649)

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