Spectral properties and asymptotic periodicity of flows in networks

@inproceedings{Kramar2004SpectralPA,
  title={Spectral properties and asymptotic periodicity of flows in networks},
  author={Marjeta Kramar and Eszter Sikolya},
  year={2004}
}
We combine functional analytical and graph theoretical methods in order to study flows in networks. We show that these flows can be described by a strongly continuous operator semigroup on a Banach space. Using Perron-Frobenius spectral theory we then prove that this semigroup behaves asymptotically periodic.