3 papers
math.AP2018
Determining both the source of a wave and its speed in a medium from boundary measurements
Christina Knox, Amir Moradifam
We study the inverse problem of determining both the source of a wave and its speed inside a medium from measurements of the solution of the wave equation on the boundary. This pro…
math.AP2017
Electrical Networks with Prescribed Current and Applications to Random Walks on Graphs
Christina Knox, Amir Moradifam
We study the inverse problem of determining the conductivity matrix of an electrical network from the prescribed knowledge of the magnitude of the induced current along the edges c…
math-ph2015
A survey of complex dimensions, measurability, and the lattice/nonlattice dichotomy
Kristin Dettmers, Robert Giza, Christina Knox +2
The theory of complex dimensions of fractal strings developed by Lapidus and van Frankenhuijsen has proven to be a powerful tool for the study of Minkowski measurability of fractal…