Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spinning Brownian motion   We prove strong existence and uniqueness for a reflection process $X$ in a
smooth, bounded domain $D$ that behaves like
obliquely-reflected-Brownian-motion, except that the direction of reflection
depends on a (spin) parameter $S$, which only changes when $X$ is on the
boundary of $D$ according to a physical rule. The process $(X,S)$ is a
degenerate diffusion.
  We show uniqueness of the stationary distribution by using techniques based
on excursions of $X$ from $\partial D$, and an associated exit system. We also
show that the process admits a submartingale formulation and use related
results to show examples of the stationary distribution.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom