Martin Simon
eBook, PDF

Anomaly Detection in Random Heterogeneous Media (eBook, PDF)

Feynman-Kac Formulae, Stochastic Homogenization and Statistical Inversion

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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 ...

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