Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Poisson Equation of Parameter-Dependent Markov Chains   The objective of the paper is to revisit a key mathematical technology within
the theory of stochastic approximation in a Markovian framework, elaborated in
much detail by Benveniste, M\'etivier, and Priouret (1990): the existence,
uniqueness and Lipschitz-continuity of the solutions of parameter-dependent
Poisson equations associated with parameter-dependent Markov chains on general
state spaces. The setup and the methodology of our investigation is based on a
new, elegant stability theory for Markov chains, developed by Hairer and
Mattingly (2011).

24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio