Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The asymptotics of group Russian roulette   We study the group Russian roulette problem, also known as the shooting
problem, defined as follows. We have $n$ armed people in a room. At each chime
of a clock, everyone shoots a random other person. The persons shot fall dead
and the survivors shoot again at the next chime. Eventually, either everyone is
dead or there is a single survivor. We prove that the probability $p_n$ of
having no survivors does not converge as $n\to\infty$, and becomes
asymptotically periodic and continuous on the $\log n$ scale, with period 1.

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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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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-ex