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math.SPFeb 11, 2008
authors
  • E. B. Davies
  • Paul A. Incani
institutions
  • King's College London
arXiv abstractPDF
paper

Spectral Properties of Matrices Associated with Some Directed Graphs

arXiv:0802.1477

Abstract

We study the spectral properties of certain non-self-adjoint matrices associated with large directed graphs. Asymptotically the eigenvalues converge to certain curves, apart from a finite number that have limits not on these curves.

41 pages, 9 figures

References in corpus (1)

  • Non-selfadjoint perturbations of selfadjoint operators in 2 dimensions IIIa. One branching point
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