Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Small Noise Estimates of the Quadratic Covariation between Non-smooth
  Transformations of Brownian Motion   Given a Brownian Motion $W$, in this paper we study the asymptotic behavior,
as $\eps \to 0$, of the quadratic covariation between $f (\eps W)$ and $W$ in
the case in which $f$ is not smooth. Among the main features discovered is that
the speed of the decay in the case $f \in C^\alpha$ is polynomial in $\eps$ and
not exponential as expected. We use a recent representation as a backward-
forward It\^o integral of $[f (\eps W), W]$ to prove an $\eps$-dependent
approximation scheme which is of independent interest. We get the result by
providing estimates to this approximation.

28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th