Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gap distributions and homogeneous dynamics   We survey the use of dynamics of $SL(2, \R)$-actions to understand gap
distributions for various sequences of subsets of $[0, 1)$, particularly those
arising from special trajectories of various two-dimensional dynamical systems.
We state and prove an abstract theorem that gives a unified explanation for
some of the examples we present.

0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg