Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Markov chain approximations for symmetric jump processes   Markov chain approximations of symmetric jump processes are investigated.
Tightness results and a central limit theorem are established. Moreover, given
the generator of a symmetric jump process with state space $\mathbbm{R}^d$ the
approximating Markov chains are constructed explicitly. As a byproduct we
obtain a definition of the Sobolev space $H^{\alpha/2}(\mathbbm{R}^d)$, $\alpha
\in (0,2)$, that is equivalent to the standard one.

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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg