Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extended gambler's ruin problem   In the extended gambler's ruin problem we can move one step forward or
backward (classical gambler's ruin problem), we can stay where we are for a
time unit (delayed action) or there can be absorption in the current state
(game is terminated without reaching an absorbing barrier). We obtain
probabilities for maximum and minimum values of the ruin problem, expected time
until absorption, asymptotic behaviour of the absorption probabilities and the
value of the game. We introduce a conjugate version of our random walk.

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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th