Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability of the rotation set of area-preserving toral homeomorphisms   We show that if the rotation set of a homeomorphism of the torus is stable
under small perturbations of the dynamics, then it is a convex polygon with
rational vertices. We also show that such homeomorphisms are $C^0$-generic and
have bounded rotational deviations (even for pseudo-orbits). The results hold
both in the area-preserving setting and in the general setting. When the
rotation set is stable, we give explicit estimates on the type of rationals
that may appear as vertices of rotation sets in terms of the stability
constants.

11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol