Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic calculus: application to dynamic bifurcations and threshold
  crossings   For the dynamic pitchfork bifurcation in the presence of white noise, the
statistics of the last time at zero are calculated as a function of the noise
level and the rate of change of the parameter. The threshold crossing problem
used, for example, to model the firing of a single cortical neuron is
considered, concentrating on quantities that may be experimentally measurable
but have so far received little attention. Expressions for the statistics of
pre-threshold excursions, occupation density and last crossing time of zero are
compared with results from numerical generation of paths.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex