Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brownian hitting distributions in space-time of bounded sets and the
  expected volume of Wiener sausage for Brownian bridges   The space-time distribution, $Q_A(x,dt d\xi)$ say, of Brownian hitting of a
bounded Borel set $A$ of the $d$-dimensional Euclidian space is studied. We
derive the asymptotic form of the leading term of the time-derivative $Q_A(x,
dtd\xi)/dt$ for each $d =2, 3, ...$, valid uniformly with respect to the
starting point $x$ of the Brownian motion, which result extends significantly
the classical results for $Q_A(x, dt d\xi)$ itself by Hunt ($d=2$), Joffe and
Spitzer ($d= 3, 4,...$). The results are applied to find the asymptotic form of
the expected volume of Wiener sausage for the Brownian bridge joining the
origin to a distant point.

5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex