Teemu Saksala, NC State, Stable reconstruction of simple Riemannian manifolds from unknown interior sources
ZoomConsider 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…