Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spatial limit theorem for interval exchange transformations   We prove a spatial limit theorem for generic interval exchange
transformations (IETs): for a generic IET the normalized ergodic sums of a
sufficiently regular (e.g., Lipschitz) function have the same asymptotic
behavior of distributions as the behaviour of ergodic integrals for a generic
translation flow on a flat surface, described by A. Bufetov.

25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th