Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hitting half-spaces by Bessel-Brownian diffusions   The purpose of the paper is to find explicit formulas describing the joint
distributions of the first hitting time and place for half-spaces of
codimension one for a diffusion in $\R^{n+1}$, composed of one-dimensional
Bessel process and independent n-dimensional Brownian motion. The most
important argument is carried out for the two-dimensional situation. We show
that this amounts to computation of distributions of various integral
functionals with respect to a two-dimensional process with independent Bessel
components. As a result, we provide a formula for the Poisson kernel of a
half-space or of a strip for the operator $(I-\Delta)^{\alpha/2}$,
$0<\alpha<2$. In the case of a half-space, this result was recently found, by
different methods, in [6]. As an application of our method we also compute
various formulas for first hitting places for the isotropic stable L\'evy
process.

6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex