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math.AP2015
Probabilistic Interpretation of the Calderón Problem
Petteri Piiroinen, Martin Simon
In this paper, we use the theory of symmetric Dirichlet forms to give a probabilistic interpretation of Calderón's inverse conductivity problem in terms of reflecting diffusion pro…
math.AP2015
From Feynman-Kac Formulae to Numerical Stochastic Homogenization in Electrical Impedance Tomography
Petteri Piiroinen, Martin Simon
In this paper, we use the theory of symmetric Dirichlet forms to derive Feynman-Kac formulae for the forward problem of electrical impedance tomography with possibly anisotropic, m…