Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Markov chain comparison   This is an expository paper, focussing on the following scenario. We have two
Markov chains, $\mathcal {M}$ and $\mathcal {M}'$. By some means, we have
obtained a bound on the mixing time of $\mathcal {M}'$. We wish to compare
$\mathcal {M}$ with $\mathcal {M}'$ in order to derive a corresponding bound on
the mixing time of $\mathcal {M}$. We investigate the application of the
comparison method of Diaconis and Saloff-Coste to this scenario, giving a
number of theorems which characterize the applicability of the method. We focus
particularly on the case in which the chains are not reversible. The purpose of
the paper is to provide a catalogue of theorems which can be easily applied to
bound mixing times.

26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci