Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Juggler's exclusion process   Juggler's exclusion process describes a system of particles on the positive
integers where particles drift down to zero at unit speed. After a particle
hits zero, it jumps into a randomly chosen unoccupied site. We model the system
as a set-valued Markov process and show that the process is ergodic if the
family of jump height distributions is uniformly integrable. In a special case
where the particles jump according to a set-avoiding memoryless distribution,
the process reaches its equilibrium in finite nonrandom time, and the
equilibrium distribution can be represented as a Gibbs measure conforming to a
linear gravitational potential.

9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas