Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rotation topological factors of minimal $\ZM^{d}$-actions on the cantor
  set   In this paper we study conditions under which a free minimal $\mz^d$-action
on the Cantor set is a topological extension of the action of $d$ rotations,
either on the product $\mt^d$ of $d$ 1-tori or on a single 1-torus $\mt^1$. We
extend the notion of {\it linearly recurrent} systems defined for $\mz$-actions
on the Cantor set to $\mz^d$-actions and we derive in this more general
setting, a necessary and sufficient condition, which involves natural
combinatorial data associated with the action, allowing the existence of a
rotation topological factor of one these two types.

34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg