Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: L\'evy-type processes: convergence and discrete schemes   We characterise the convergence of a certain class of discrete time Markov
processes toward locally Feller processes in terms of convergence of associated
operators. The theory of locally Feller processes is applied to L\'evy-type
processes in order to obtain convergence results on discrete and continuous
time indexed processes, simulation methods and Euler schemes. We also apply the
same theory to a slightly different situation, in order to get results of
convergence of diffusions or random walks toward singular diffusions. As a
consequence we deduce the convergence of random walks in random medium toward
diffusions in random potential.

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The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
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The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn