Localization criteria for Anderson models on locally finite graphs

Abstract

We prove spectral and dynamical localization for Anderson models on locally finite graphs using the fractional moment method. Our theorems extend earlier results on localization for the Anderson model on $\ZZ^d$. We establish geometric assumptions for the underlying graph such that localization can be proven in the case of sufficiently large disorder.

References in corpus (4)

• Essential selfadjointness of the graph-Laplacian
• Stochastic Completeness of Graphs
• Dynamical Localization for Unitary Anderson Models
• An Introduction to the Mathematics of Anderson Localization

Cited by in corpus (4)

• Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
• On the Decomposition of the Laplacian on Metric Graphs
• How large is large? Estimating the critical disorder for the Anderson model
• Fractional Moment Methods for Anderson Localization with SAW Representation