Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ballistic dynamics of a convex smooth-wall billiard with finite escape
  rate along the boundary   We focus on the problem of an impurity-free billiard with a random
position-dependent boundary coupling to the environment. The response functions
of such an open system can be obtained non-perturbatively from a supersymmetric
generating functional. The derivation of this functional is based on averaging
over the escape rates and results in a non-linear ballistic $\sigma $-model,
characterized by system-specific parameters. Particular emphasis is placed on
the {}``whispering gallery modes'' as the origin of surface diffusion modes in
the limit of large dimensionless conductance.

36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int