Scattering theory for graphs isomorphic to a homogeneous tree at infinity

Abstract : We describe the spectral theory of the adjacency operator of a graph which is isomorphic to homogeneous trees at infinity. Using some combinatorics, we reduce the problem to a scattering problem for a finite rank perturbation of the adjacency operator on an homogeneous tree. We developp this scattering theory using the classical recipes for Schrödinger operators in Euclidian spaces.
Complete list of metadatas

Cited literature [11 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-00728357
Contributor : Yves Colin de Verdière <>
Submitted on : Friday, May 17, 2013 - 12:05:20 PM
Last modification on : Wednesday, September 26, 2018 - 10:44:03 AM
Long-term archiving on : Sunday, August 18, 2013 - 4:14:21 AM

Files

corrjmp-last.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00728357, version 2
  • ARXIV : 1209.1001

Collections

Citation

Yves Colin de Verdière, Francoise Truc. Scattering theory for graphs isomorphic to a homogeneous tree at infinity. 2013. ⟨hal-00728357v2⟩

Share

Metrics

Record views

298

Files downloads

115