Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On annular maps of the torus and sublinear diffusion   There is a classification by Misiurewicz and Ziemian of elements in
Homeo$_0(\mathbf{T}^2)$ by their rotation set $\rho$, according to wether
$\rho$ is a point, a segment or a set with nonempty interior. A recent
classification of nonwandering elements in Homeo$_0(\mathbf{T}^2)$ by Koropecki
and Tal has been given, according to the itrinsic underlying ambient where the
dynamics takes place: planar, annular and strictly toral maps. We study the
link between these two classifications, showing that, even abroad the
nonwandering setting, annular maps are characterized by rotation sets which are
\textit{rational segments}. Also, we obtain information on the
\textit{sublinear diffusion} of orbits in the -not very well understood- case
that $\rho$ has nonempty interior.

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The categories of this paper are: chem-ph
19
The categories of this paper are: eess
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The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
12
The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an