Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Criteria for hitting probabilities with applications to systems of
  stochastic wave equations   We develop several results on hitting probabilities of random fields which
highlight the role of the dimension of the parameter space. This yields upper
and lower bounds in terms of Hausdorff measure and Bessel--Riesz capacity,
respectively. We apply these results to a system of stochastic wave equations
in spatial dimension $k\ge1$ driven by a $d$-dimensional spatially homogeneous
additive Gaussian noise that is white in time and colored in space.

12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn