Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An operator approach for Markov chain weak approximations with an
  application to infinite activity L\'{e}vy driven SDEs   Weak approximations have been developed to calculate the expectation value of
functionals of stochastic differential equations, and various numerical
discretization schemes (Euler, Milshtein) have been studied by many authors. We
present a general framework based on semigroup expansions for the construction
of higher-order discretization schemes and analyze its rate of convergence. We
also apply it to approximate general L\'{e}vy driven stochastic differential
equations.

31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph