Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the regularisation of the noise for the Euler-Maruyama scheme with
  irregular drift   The strong rate of convergence of the Euler-Maruyama scheme for nondegenerate
SDEs with irregular drift coefficients is considered. In the case of
$\alpha$-H\"older drift in the recent literature the rate $\alpha/2$ was proved
in many related situations. By exploiting the regularising effect of the noise
more efficiently, we show that the rate is in fact arbitrarily close to $1/2$
for all $\alpha>0$. The result extends to Dini continuous coefficients, while
in $d=1$ also to all bounded measurable coefficients.

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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
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The categories of this paper are: q-alg