Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decorrelation estimates for some continuous and discrete random
  Schr{\"o}dinger operators in dimension one, without covering condition   The purpose of the present work is to establish decorrelation estimates at
distinct energies for some random Schr{\"o}dinger operator in dimension one. In
particular, we establish the result for some random operators on the continuum
with alloy-type potential without covering condition assumption. These results
are used to give a description of the spectral statistics.

9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int