Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Note on spectra of non-selfadjoint operators over dynamical systems   We consider equivariant continuous families of discrete one-dimensional
operators over arbitrary dynamical systems. We introduce the concept of a
pseudo-ergodic element of a dynamical system. We then show that all operators
associated to pseudo-ergodic elements have the same spectrum and that this
spectrum agrees with their essential spectrum. As a consequence we obtain that
the spectrum is constant and agrees with the essential spectrum for all
elements in the dynamical system if minimality holds.

29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph