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Teemu Saksala, NC State, Stable reconstruction of simple Riemannian manifolds from unknown interior sources
Teemu Saksala, NC State, Stable reconstruction of simple Riemannian manifolds from unknown interior sources
Consider the geometric inverse problem: There is a set of delta-sources in spacetime that emit waves travelling at unit speed. If we know all the arrival times at the boundary cylinder of the spacetime, can we reconstruct the space, a Riemannian manifold with boundary? With a finite set of sources we can only hope to…