Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence condition of strong stationary times for continuous time
  Markov chains on discrete graphs   We consider a random walk on a discrete connected graph having some infinite
branches plus finitely many vertices with finite degrees. We find the generator
of a strong stationary dual in the sense of Fill, and use it to find some
equivalent condition to the existence of a strong stationary time. This strong
stationary dual process lies in the set of connected compact sets of the
compactification of the graph. When this graph is Z, this is simply the set of
(possibly infinite) segments of Z.

37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin