EAN: 9783319945767

SPRINGERBRIEFS IN MATHEMATICS AN INTRODUCTION...

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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