Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocal dispersal equations with almost periodic dependence. I.
  Principal spectral theory   This series of two papers is devoted to the study of the principal spectral
theory of nonlocal dispersal operators with almost periodic dependence and the
study of the asymptotic dynamics of nonlinear nonlocal dispersal equations with
almost periodic dependence. In this first part of the series, we investigate
the principal spectral theory of nonlocal dispersal operators from two aspects:
top Lyapunov exponents and generalized principal eigenvalues. Among others, we
provide various characterizations of the top Lyapunov exponents and generalized
principal eigenvalues, establish the relations between them, and study the
effect of time and space variations on them. In the second part of the series,
we will study the asymptotic dynamics of nonlinear nonlocal dispersal equations
with almost periodic dependence applying the principal spectral theory to be
developed in this part.

1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph