181 citations · 771 across the 48 of their papers we have counts for
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math-ph2006★ 7 cited
Anderson Localization for radial tree-like random quantum graphs
Peter D. Hislop, Olaf Post
We prove that certain random models associated with radial, tree-like, rooted quantum graphs exhibit Anderson localization at all energies. The two main examples are the random len…
math-ph2006★ 104 cited
Spectral convergence of non-compact quasi-one-dimensional spaces
Olaf Post
We consider a family of non-compact manifolds $X_\eps$ (``graph-like manifolds'') approaching a metric graph and establish convergence results of the related natural operator…