02967nam 22005415 450 991030011190332120200629215737.03-319-94577-710.1007/978-3-319-94577-4(CKB)4100000005471763(DE-He213)978-3-319-94577-4(MiAaPQ)EBC5485353(PPN)22991764X(EXLCZ)99410000000547176320180802d2018 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierAn Introduction to Random Currents and Their Applications /by Vincenzo Capasso1st ed. 2018.Cham :Springer International Publishing :Imprint: Springer,2018.1 online resource (XIII, 143 p.) SpringerBriefs in Mathematics,2191-81983-319-94576-9 Includes bibliographical references and index. 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. .SpringerBriefs in Mathematics,2191-8198Measure theoryOptical data processingProbabilitiesMeasure and Integrationhttps://scigraph.springernature.com/ontologies/product-market-codes/M12120Image Processing and Computer Visionhttps://scigraph.springernature.com/ontologies/product-market-codes/I22021Probability Theory and Stochastic Processeshttps://scigraph.springernature.com/ontologies/product-market-codes/M27004Measure theory.Optical data processing.Probabilities.Measure and Integration.Image Processing and Computer Vision.Probability Theory and Stochastic Processes.515.42Capasso Vincenzoauthttp://id.loc.gov/vocabulary/relators/aut51830BOOK9910300111903321Introduction to Random Currents and Their Applications1564653UNINA