Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization for transversally periodic random potentials on binary
  trees   We consider a random Schr\"odinger operator on the binary tree with a random
potential which is the sum of a random radially symmetric potential, $Q_r$, and
a random transversally periodic potential, $\kappa Q_t$, with coupling constant
$\kappa$. Using a new one-dimensional dynamical systems approach combined with
Jensen's inequality in hyperbolic space (our key estimate) we obtain a
fractional moment estimate proving localization for small and large $\kappa$.
Together with a previous result we therefore obtain a model with two Anderson
transitions, from localization to delocalization and back to localization, when
increasing $\kappa$. As a by-product we also have a partially new proof of
one-dimensional Anderson localization at any disorder.

26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs