English

Note on the Absolutely Continuous Spectrum for the Anderson Model on Cayley Trees of Arbitrary Degree

Mathematical Physics 2010-08-10 v1 math.MP Spectral Theory

Abstract

We provide a simplified version of the geometric method given by Froese, Hasler and Spitzer and use it to prove the existence of absolutely continuous spectrum for a Cayley tree of arbitrary degree k.

Keywords

Cite

@article{arxiv.1008.1519,
  title  = {Note on the Absolutely Continuous Spectrum for the Anderson Model on Cayley Trees of Arbitrary Degree},
  author = {Florina Halasan},
  journal= {arXiv preprint arXiv:1008.1519},
  year   = {2010}
}

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20 pages