Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unique equilibrium states for geodesic flows on flat surfaces with
  singularities   Consider a compact surface of genus $\geq 2$ equipped with a metric that is
flat everywhere except at finitely many cone points with angles greater than
$2\pi$. Following the technique in the work of Burns, Climenhaga, Fisher, and
Thompson, we prove that sufficiently regular potential functions have unique
equilibrium states if the singular set does not support the full pressure.
Moreover, we show that the pressure gap holds for any potential which is
locally constant on a neighborhood of the singular set. Finally, we establish
that the corresponding equilibrium states have the $K$-property, and closed
regular geodesics equidistribute.

9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn