Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogenization results for the generator of multiscale Langevin dynamics
  in weighted Sobolev spaces   We study the homogenization of the Poisson equation with reaction term and of
the eigenvalue problem associated to the generator of multiscale Langevin
dynamics. Our analysis extends the theory of two-scale convergence to the case
of weighted Sobolev spaces in unbounded domains. We provide convergence results
for the solution of the multiscale problems above to their homogenized
surrogate. A series of numerical examples corroborates our analysis.

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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
3
The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg