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Martin Simon

Anomaly Detection in Random Heterogeneous Media

Feynman-Kac Formulae, Stochastic Homogenization and Statistical Inversion

Ebook (PDF Format)

This monograph is concerned with the analysis and numerical solution of a stochastic inverse anomaly detection problem in electrical impedance tomography (EIT). Martin Simon studies the problem of detecting a parameterized anomaly in an isotropic, stationary and ergodic conductivity random field whose realizations are rapidly oscillating. For this purpose, he derives Feynman-Kac formulae to rigorously justify stochastic homogenization in the case of the underlying stochastic boundary value problem. The author combines techniques from the theory of partial differential equations and functional analysis with probabilistic ideas, paving the way… Mehr

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Produktdetails


  • ISBN: 978-3-658-10993-6
  • EAN: 9783658109936
  • Produktnummer: 18888203
  • Verlag: Spektrum Akademischer Verlag Bei Elsevier
  • Sprache: Englisch
  • Erscheinungsjahr: 2015
  • Plattform: PDF
  • Masse: 2'353 KB

Über den Autor


Martin Simon has worked as a researcher at the Institute of Mathematics at the University of Mainz from 2008 to 2014. During this period he had several research stays at the University of Helsinki. He has recently joined an asset management company as a financial mathematician. 

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