Cluster expansion of the resolvent for the Schrödinger operator on non-percolating graphs with applications to Simon-Spencer type theorems and localization (Q1674002)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Cluster expansion of the resolvent for the Schrödinger operator on non-percolating graphs with applications to Simon-Spencer type theorems and localization |
scientific article; zbMATH DE number 6801916
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cluster expansion of the resolvent for the Schrödinger operator on non-percolating graphs with applications to Simon-Spencer type theorems and localization |
scientific article; zbMATH DE number 6801916 |
Statements
Cluster expansion of the resolvent for the Schrödinger operator on non-percolating graphs with applications to Simon-Spencer type theorems and localization (English)
0 references
1 November 2017
0 references
Summary: The paper contains a generalization of the well-known 1D results on the absence of the a.c. spectrum (in the spirit of the Simon-Spencer theorem) and localization to the wide class of ``non-percolating'' graphs, which include the Sierpiński lattice and quasi 1D trees. The main tools are cluster expansion of the resolvent and real analytic techniques (Kolmogorov's lemma and similar estimates).
0 references
graphs
0 references
lattice Laplacian
0 references
Schrödinger operator
0 references
spectrum
0 references
