Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the topological essential range and regularity of cocycles over
  compact and generic systems   We consider the notions of topological essential range and regularity for
continuous cocycles over minimal $\Z$-systems introduced in \cite{GH} and
discuss relations with their generic counterparts. The alternative generic
definitions can be given by using the notion of generic Mackey action
associated with a cocycle. We further present a description of recurrent
cocycles over minimal rotations with values in discrete groups and derive
several consequences.

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-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
3
The categories of this paper are: physics