Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generating function approach to the growth rate of random matrix
  products   Random matrix products arise in many science and engineering problems. An
efficient evaluation of its growth rate is of great interest to researchers in
diverse fields. In the current paper, we reformulate this problem with a
generating function approach, based on which two analytic methods are proposed
to compute the growth rate. The new formalism is demonstrated in a series of
examples including an Ising model subject to on-site random magnetic fields,
which seems very efficient and easy to implement. Through an extensive
comparison with numerical computation, we see that the analytic results are
valid in a regime of considerable size.

17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas