Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-stationarity and quasi-ergodicity for discrete-time Markov chains
  with absorbing boundaries moving periodically   We are interested in quasi-stationarity and quasi-ergodicity when the
absorbing boundary is moving. First we show that, in the moving boundary case,
the quasi-stationary distribution and the quasi-limiting distribution are not
well-defined when the boundary is oscillating periodically. Then we show the
existence of a quasi-ergodic distribution for any discrete-time irreducible
Markov chain defined on a finite space state in the fixed boundary case.
Finally we use this last result to show the quasi-ergodicity in the moving
boundary case.

11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph