Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic flows related to Walsh Brownian motion   We define an equation on a simple graph which is an extension of Tanaka
equation and the skew Brownian motion equation. We then apply the theory of
transition kernels developped by Le Jan and Raimond and show that all the
solutions can be classified by probability measures.

6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs