Spectral analysis of 1 D nearest – neighbor random walks and applications to subdiffusive trap and barrier models ∗

@inproceedings{Faggionato2012SpectralAO,
  title={Spectral analysis of 1 D nearest – neighbor random walks and applications to subdiffusive trap and barrier models ∗},
  author={Alessandra Faggionato},
  year={2012}
}
We consider a sequence X, n ≥ 1, of continuous–time nearest–neighbor random walks on the one dimensional latticeZ. We reduce the spectral analysis of the Markov generator of X with Dirichlet conditions outside (0, n) to the analogous problem for a suitable generalized second order differential operator −DmnDx, with Dirichlet conditions outside a given… CONTINUE READING