Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Calculus for Markov Processes Associated with Non-symmetric
  Dirichlet Forms   Nakao's stochastic integrals for continuous additive functionals of zero
energy are extended from the symmetric Dirichlet forms setting to the
non-symmetric Dirichlet forms setting. Ito's formula in terms of the extended
stochastic integrals is obtained.

18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an