Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability in Distribution of Randomly Perturbed Quadratic Maps as Markov
  Processes   Iteration of randomly chosen quadratic maps defines a Markov process:
X_{n+1}=\epsilon_{n+1}X_n(1-X_n), where \epsilon_n are i.i.d. with values in
the parameter space [0,4] of quadratic maps F_{\theta}(x)=\theta x(1-x). Its
study is of significance as an important Markov model, with applications to
problems of optimization under uncertainty arising in economics. In this
article a broad criterion is established for positive Harris recurrence of X_n.

27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio