Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stable Strata of Geodesics in Outer Space   In this paper we propose an Outer space analogue for the principal stratum of
the unit tangent bundle to the Teichm\"uller space $\mathcal{T}(S)$ of a closed
hyperbolic surface $S$. More specifically, we focus on properties of the
geodesics in Teichm\"uller space determined by the principal stratum. We show
that the analogous Outer space "principal" periodic geodesics share certain
stability properties with the principal stratum geodesics of Teichm\"uller
space. We also show that the stratification of periodic geodesics in Outer
space exhibits some new pathological phenomena not present in the Teichm\"uller
space context.

6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph