Localization in a quasiperiodic model on quantum graphs

Details Localization in a quasiperiodic model on quantum graphs Localization in a quasiperiodic model on quantum graphs

2007-07-13

arxiv.org/abs/0707.2041v1

In the book P. Exner et al. (Eds): Analysis on Graphs and its Applications (Proc. Symp. Pure Math., vol. 77, AMS, 2008), pp. 4

Physics

Mathematical Physics

9 pages, written for proceedings of the AGA program at Newton Institute; To appear in Proc. Symp. Pure Math. (2008)

Scientific paper

We show the presence of a dense pure point spectrum on quantum graphs with
Maryland-type quasiperiodic Kirchhoff coupling constants at the vertices.

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