Localization for the Anderson Model on Trees with Finite Dimensions

Abstract

We introduce a family of trees that interpolate between the Bethe lattice and $\mathbb{Z}$. We prove complete localization for the Anderson model on any member of that family.

References in corpus (1)

• Singular Continuous Spectrum for the Laplacian on Certain Sparse Trees

Cited by in corpus (5)

• Anderson transition at 2 dimensional growth rate on antitrees and spectral theory for operators with one propagating channel
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• Absolutely Continuous Spectrum for random Schroedinger operators on the Fibonacci and similar tree-strips
• Absolutely Continuous Spectrum for Random Schroedinger Operators on Tree-Strips of finite cone type
• On the Decomposition of the Laplacian on Metric Graphs