Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong solutions to a beta-Wishart particle system   The purpose of this paper is to study the existence and uniqueness of
solutions to a Stochastic Differential Equation (SDE) coming from the
eigenvalues of Wishart processes. The coordinates are non-negative, evolve as
Cox-Ingersoll-Ross (CIR) processes and repulse each other according to a
Coulombian like interaction force. We show the existence of strong and pathwise
unique solutions to the system until the first multiple collision, and give a
necessary and sufficient condition on the parameters of the SDE for this
multiple collision not to occur in finite time.

36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an