Publisher DOI: | 10.1007/s00023-013-0274-4 | Title: | Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees | Language: | English | Authors: | Exner, Pavel Seifert, Christian ![]() Stollmann, Peter |
Issue Date: | 12-Jul-2013 | Publisher: | Springer International Publishing AG | Source: | Annales Henri Poincare 15 (6): 1109-1121 (2014) | Abstract (english): | In this paper, we prove that the existence of absolutely continuous spectrum of the Kirchhoff Laplacian on a radial metric tree graph together with a finite complexity of the geometry of the tree implies that the tree is in fact eventually periodic. This complements the results by Breuer and Frank in (Rev Math Phys 21(7):929-945, 2009) in the discrete case as well as for sparse trees in the metric case. © 2013 Springer Basel. |
URI: | http://hdl.handle.net/11420/9949 | ISSN: | 1424-0661 | Institute: | Mathematik E-10 | Document Type: | Article | Journal: | Annales Henri Poincaré |
Appears in Collections: | Publications without fulltext |
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