Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A probabilistic approach to extreme statistics of Brownian escape times
  in dimensions 1, 2, and 3   First passage time (FPT) theory is often used to estimate timescales in
cellular and molecular biology. While the overwhelming majority of studies have
focused on the time it takes a given single Brownian searcher to reach a
target, cellular processes are instead often triggered by the arrival of the
first molecule out of many molecules. In these scenarios, the more relevant
timescale is the FPT of the first Brownian searcher to reach a target from a
large group of independent and identical Brownian searchers. Though the
searchers are identically distributed, one searcher will reach the target
before the others and will thus have the fastest FPT. This fastest FPT depends
on extremely rare events and its mean can be orders of magnitude faster than
the mean FPT of a given single searcher. In this paper, we use rigorous
probabilistic methods to study this fastest FPT. We determine the asymptotic
behavior of all the moments of this fastest FPT in the limit of many searchers
in a general class of two- and three-dimensional domains. We establish these
results by proving that the fastest searcher takes an almost direct path to the
target.

28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys