Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Necessary and sufficient condition for $\cM_2$-convergence to a L\'evy
  process for billiards with cusps at flat points   We consider a class of planar dispersing billiards with a cusp at a point of
vanishing curvature. Convergence to a stable law and to the corresponding
L\'evy process in the $\cM_1$ and $\cM_2$ Skorohod topologies has been studied
in recent work. Here we show that certain sufficient conditions for
$\cM_2$-convergence are also necessary.

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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-th
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The categories of this paper are: physics