Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eigensystem multiscale analysis for Anderson localization in energy
  intervals   We present an eigensystem multiscale analysis for proving localization (pure
point spectrum with exponentially decaying eigenfunctions, dynamical
localization) for the Anderson model in an energy interval. In particular, it
yields localization for the Anderson model in a nonempty interval at the bottom
of the spectrum. This eigensystem multiscale analysis in an energy interval
treats all energies of the finite volume operator at the same time,
establishing level spacing and localization of eigenfunctions with eigenvalues
in the energy interval in a fixed box with high probability. In contrast to the
usual strategy, we do not study finite volume Green's functions. Instead, we
perform a multiscale analysis based on finite volume eigensystems (eigenvalues
and eigenfunctions). In any given scale we only have decay for eigenfunctions
with eigenvalues in the energy interval, and no information about the other
eigenfunctions. For this reason, going to a larger scale requires new arguments
that were not necessary in our previous eigensystem multiscale analysis for the
Anderson model at high disorder, where in a given scale we have decay for all
eigenfunctions.

24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess