Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Semi-implicit Euler-Maruyama approximation for non-colliding particle
  systems   We introduce a semi-implicit Euler-Maruyama approximation which preservers
the non-colliding property for some class of non-colliding particle systems
such as Dyson Brownian motions, Dyson-Ornstein-Uhlenbeck processes and Brownian
particles systems with nearest neighbour repulsion, and study its rates of
convergence in both $L^p$-norm and path-wise sense.

26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph