Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large deviations for correlated random variables described by a matrix
  product ansatz   We study the large deviations of sums of correlated random variables
described by a matrix product ansatz, which generalizes the product structure
of independent random variables to matrices whose non-commutativity is the
source of correlations. We show with specific examples that different large
deviation behaviors can be found with this ansatz. In particular, it is
possible to construct sums of correlated random variables that violate the Law
of Large Numbers, the Central Limit Theorem, as well as sums that have
nonconvex rate functions or rate functions with linear parts or plateaux.

36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas