Title: Inverse dynamic and spectral problems for the one-dimensional Dirac system on a finite tree,
Abstract: We consider inverse dynamic and spectral problems for the one dimensional
Dirac system on a finite tree. Our aim will be to recover the topology of a
tree (lengths and connectivity of edges) as well as matrix potentials on each
edge. As inverse data we use the Weyl-Titchmarsh matrix function or the dynamic
response operator.