Absence of absolutely continuous spectrum for the Kirchhoff Laplacian on radial trees

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Autor/in:
Verlag/Körperschaft:
Hamburg University of Technology
Erscheinungsjahr:
2013
Medientyp:
Text
Schlagwort:
  • 510: Mathematik
Beschreibung:
  • 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.
Beziehungen:
DOI 10.1007/s00023-013-0274-4
Quellsystem:
TUHH Open Research
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Quelldatensatz
oai:tore.tuhh.de:11420/9949