Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Probability distributions for one component equations with
  multiplicative noise   Systems described by equations involving both multiplicative and additive
noise are common in nature. Examples include convection of a passive scalar
field, polymersin turbulent flow, and noise in dye lasers. In this paper the
one component version of this problem is studied. The steady state probability
distribution is classified into two different types of behavior. One class has
power law tails and the other is of the form of an exponential to a power law.
The value of the power law exponent is determined analytically for models
having colored gaussian noise. It is found to only depend on the power spectrum
of the noise at zero frequency. When non-gaussian noise is considered it is
shown that stretched exponential tails are possible. An intuitive understanding
of the results is found and makes use of the Lyapunov exponents for these
systems.

16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph