Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal convergence rates in the averaging principle for slow-fast SPDEs
  driven by multiplicative noise   In this paper, we study a class of slow-fast stochastic partial differential
equations with multiplicative Wiener noise. Under some appropriate conditions,
we prove the slow component converges to the solution of the corresponding
averaged equation with optimal orders 1/2 and 1 in the strong and weak sense
respectively. The main technique is based on the Poisson equation.

8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg