Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Dirichlet problem for asymmetric zero-range process on increasing
  domains   We characterize the principal eigenvalue of the generator of the asymmetric
zero-range process in dimensions d>2, with Dirichlet boundary on special
domains. We obtain a Donsker-Varadhan variational representation for the
principal eigenvalue, and show that the corresponding eigenfunction is unique
in a natural class of functions. This allows us to obtain asymptotic hitting
time estimates.

10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph