Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic expansions at any time for scalar fractional SDEs with Hurst
  index $H>1/2$   We study the asymptotic expansions with respect to $h$ of
\[\mathrm{E}[\Delta_hf(X_t)],\qquad
\mathrm{E}[\Delta_hf(X_t)|\mathscr{F}^X_t]\quadand\quad
\mathrm{E}[\Delta_hf(X_t)|X_t],\] where $\Delta_hf(X_t)=f(X_{t+h})-f(X_t)$,
when $f:\mathbb {R}\to\mathbb{R}$ is a smooth real function, $t\geq0$ is a
fixed time, $X$ is the solution of a one-dimensional stochastic differential
equation driven by a fractional Brownian motion with Hurst index $H>{1}/{2}$
and $\mathscr{F}^X$ is its natural filtration.

15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas