Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analytic calculation of anomalous scaling in random shell models for a
  passive scalar   An exact non-perturbative calculation of the fourth-order anomalous
correction to the scaling behaviour of a random shell-model for passive scalars
is presented. Importance of ultraviolet (UV) and infrared (IR) boundary
conditions on the inertial scaling properties are determined. We find that
anomalous behaviour is given by the null-space of the inertial operator and we
prove strong UV and IR independence of the anomalous exponent. A limiting case
where diffusive behaviour can influence inertial properties is also presented.

11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg