Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classifying pole-skipping points   We clarify general mathematical and physical properties of pole-skipping
points. For this purpose, we analyse scalar and vector fields in hyperbolic
space. This setup is chosen because it is simple enough to allow us to obtain
analytical expressions for the Green's function and check everything
explicitly, while it contains all the essential features of pole-skipping
points. We classify pole-skipping points in three types (type-I, II, III).
Type-I and Type-II are distinguished by the (limiting) behavior of the Green's
function near the pole-skipping points. Type-III can arise at non-integer
$i\omega$ values, which is due to a specific UV condition, contrary to the
types I and II, which are related to a non-unique near-horizon boundary
condition. We also clarify the relation between the pole-skipping structure of
the Green's function and the near-horizon analysis. We point out that there are
subtle cases where the near-horizon analysis alone may not be able to capture
the existence and properties of the pole-skipping points.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph