Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An application of the stationary phase method for estimating probability
  densities of function derivatives   We prove a novel result wherein the density function of the
gradients---corresponding to density function of the derivatives in one
dimension---of a thrice differentiable function S (obtained via a random
variable transformation of a uniformly distributed random variable) defined on
a closed, bounded interval \Omega \subset R is accurately approximated by the
normalized power spectrum of \phi=exp(iS/\tau) as the free parameter \tau-->0.
The result is shown using the well known stationary phase approximation and
standard integration techniques and requires proper ordering of limits.
Experimental results provide anecdotal visual evidence corroborating the
result.

27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph