Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A local limit theorem for a family of non-reversible Markov chains   By proving a local limit theorem for higher-order transitions, we determine
the time required for necklace chains to be close to stationarity. Because
necklace chains, built by arranging identical smaller chains around a directed
cycle, are not reversible, have little symmetry, do not have uniform stationary
distributions, and can be nearly periodic, prior general bounds on rates of
convergence of Markov chains either do not apply or give poor bounds. Necklace
chains can serve as test cases for future techniques for bounding rates of
convergence.

19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics