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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…
math.AP2014★ 2 cited
Probabilistic interpretation of electrical impedance tomography
Petteri Piiroinen, Martin Simon
In this paper, we give probabilistic interpretations of both, the forward and the inverse problem of electrical impedance tomography with possibly anisotropic, merely measurable co…