Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Markovian Random Iterations of Maps   In this paper, we study Markovian random iterations of maps on standard
measurable spaces. We establish a one-to-one correspondence between stationary
measures and a certain class of invariant measures of a Markovian random
iteration, extending a similar classical result of independent and identically
distributed random iterations. As an application, we prove a local
synchronization property for Markovian random iterations of homeomorphisms of
the circle $S^{1}$.

22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th