Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing expected transition events in reducible Markov chains   We present a closed-form, computable expression for the expected number of
times any transition event occurs during the transient phase of a reducible
Markov chain. Examples of events include time to absorption, number of visits
to a state, traversals of a particular transition, loops from a state to
itself, and arrivals to a state from a particular subset of states. We give an
analogous expression for time-average events, which describe the steady-state
behavior of reducible chains as well as the long-term behavior of irreducible
chains.

23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th