Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic properties of realized power variations and related
  functionals of semimartingales   This paper is concerned with the asymptotic behavior of sums of terms which
are a test function f evaluated at successive increments of a discretely
sampled semimartingale. Typically the test function is a power function (when
the power is 2 we get the realized quadratic variation) . We prove a variety of
``laws of large numbers'', that is convergence in probability of these sums,
sometimes after normalization. We also exhibit in many cases the rate of
convergence, as well as associated central limit theorems.

6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom