Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Averaging dynamics driven by fractional Brownian motion   We consider slow / fast systems where the slow system is driven by fractional
Brownian motion with Hurst parameter $H>{1\over 2}$. We show that unlike in the
case $H={1\over 2}$, convergence to the averaged solution takes place in
probability and the limiting process solves the 'na\"ively' averaged equation.
Our proof strongly relies on the recently obtained stochastic sewing lemma.

13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an