Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic orbit sum rules for billiards: Accelerating cycle expansions   We show that the periodic orbit sums for 2-dimensional billiards satisfy an
infinity of exact sum rules. We test such sum rules and demonstrate that they
can be used to accelerate the convergence of cycle expansions for averages such
as Lyapunov exponents.

18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph