%0 Journal Article
%T Probabilistic interpretation of electrical impedance tomography
%A Petteri Piiroinen
%A Martin Simon
%J Mathematics
%D 2014
%I arXiv
%X In this paper, we give probabilistic interpretations of both, the forward and the inverse problem of electrical impedance tomography with possibly anisotropic, merely measurable conductivities: Using the theory of symmetric Dirichlet spaces, Feynman-Kac type formulae corresponding to different electrode models on bounded Lipschitz domains are derived. Moreover, we give a probabilistic interpretation of the Calder\'on inverse conductivity problem in terms of reflecting diffusion processes and their corresponding boundary trace processes.
%U http://arxiv.org/abs/1403.2883v2