Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diffusion for chaotic plane sections of 3-periodic surfaces   We study chaotic plane sections of some particular family of triply periodic
surfaces. The question about possible behavior of such sections was posed by S.
P. Novikov. We prove some estimations on the diffusion rate of these sections
using the connection between Novikov's problem and systems of isometries - some
natural generalization of interval exchange transformations. Using
thermodynamical formalism, we construct an invariant measure for systems of
isometries of a special class called the Rauzy gasket, and investigate the main
properties of the Lyapunov spectrum of the corresponding suspension flow.

16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys