Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability distribution function for systems driven by
  superheavy-tailed noise   We develop a general approach for studying the cumulative probability
distribution function of localized objects (particles) whose dynamics is
governed by the first-order Langevin equation driven by superheavy-tailed
noise. Solving the corresponding Fokker-Planck equation, we show that due to
this noise the distribution function can be divided into two different parts
describing the surviving and absorbing states of particles. These states and
the role of superheavy-tailed noise are studied in detail using the theory of
slowly varying functions.

30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an