Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Visual sphere and Thurston's boundary of the Universal Teichm\"uller
  space   Thurston's boundary to the universal Teichm\"uller space $T(\mathbb{D})$ is
the space $PML_{bdd}(\mathbb{D})$ of projective bounded measured laminations of
$\mathbb{D}$. A geodesic ray in $T(\mathbb{D})$ is of Teichm\"uller type if it
shrinks vertical foliation of an integrable holomorphic quadratic differential.
In a prior work we established that each Teichm\"uller geodesic ray limits to a
multiple (by the reciprocal of the length of the leaves) of vertical foliation
of the quadratic differential.
  Certain non-integrable holomorphic quadratic differential induce geodesic
rays and we consider their limit points in $PML_{bdd}(\mathbb{D})$. Somewhat
surprisingly, the support of the limiting projective measured laminations might
be a geodesic lamination whose leaves are not homotopic to leaves of either
vertical or horizontal foliation of the non-integrable holomorphic quadratic
differential.

15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics