Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic approximations of the ergodic constants in the stochastic
  homogenization of nonlinear second-order (degenerate) equations   We prove that the effective nonlinearities (ergodic constants) obtained in
the stochastic homogenization of Hamilton-Jacobi, "viscous" Hamilton-Jacobi and
nonlinear uniformly elliptic pde are approximated by the analogous quantities
of appropriate "periodizations" of the equations. We also obtain an error
estimate, when there is a rate of convergence for the stochastic
homogenization.

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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int