Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Natural decomposition of processes and weak Dirichlet processes   A class of stochastic processes, called "weak Dirichlet processes", is
introduced and its properties are investigated in detail. This class is much
larger than the class of Dirichlet processes. It is closed under
C^1$-transformations and under absolutely continuous change of measure. If a
weak Dirichlet process has finite energy, as defined by Graversen and Rao, its
Doob-Meyer type decomposition is unique. The developed methods have been
applied to a study of generalized martingale convolutions.

19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom