Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extremal points of high dimensional random walks and mixing times of a
  Brownian motion on the sphere   We derive asymptotics for the probability of the origin to be an extremal
point of a random walk in R^n. We show that in order for the probability to be
roughly 1/2, the number of steps of the random walk should be between e^{c n /
log n}$ and e^{C n log n}. As a result, we attain a bound for the
?pi/2-covering time of a spherical brownian motion.

22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph