Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximizing the $p$-th moment of exit time of planar Brownian motion from
  a given domain   In this paper we address the question of finding the point which maximizes
the $p$-th moment of the exit time of planar Brownian motion from a given
domain. We present a geometrical method of excluding parts of the domain from
consideration which makes use of a coupling argument and the conformal
invariance of Brownian motion. In many cases the maximizing point can be
localized to a relatively small region. Several illustrative examples are
presented.

6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph