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Speaker: Fernando Guevara Vasquez, University of Utah
Title: Conductivity imaging from thermal noise induced currents in the discrete and continuum
Abstract: We show that measurements of thermal noise induced currents can be used to image the conductivity of a body. By combining variance measurements under different heating configurations, we obtain an inverse problem that is identical to the inverse problem arising in acousto-electric tomography (AET) for real conductivities. For complex conductivities there is comparably less data available than with AET, but we give asymptotic results that indicate it may be possible to reconstruct complex conductivities as well. A discrete analog of the AET problem on resistor networks will be presented along with local uniqueness results.