Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A probabilistic interpretation of the parametrix method   In this article, we introduce the parametrix technique in order to construct
fundamental solutions as a general method based on semigroups and their
generators. This leads to a probabilistic interpretation of the parametrix
method that is amenable to Monte Carlo simulation. We consider the explicit
examples of continuous diffusions and jump driven stochastic differential
equations with H\"{o}lder continuous coefficients.

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph