Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fleming-Viot Processes in an Environment   We consider a new type of lookdown processes where spatial motion of each
individual is influenced by an individual noise and a common noise, which could
be regarded as an environment. Then a class of probability measure-valued
processes on real line $\mbb{R}$ are constructed.
  The sample path properties are investigated: the values of this new type
process are either purely atomic measures or absolutely continuous measures
according to the existence of individual noise. When the process is absolutely
continuous with respect to Lebesgue measure, we derive a new stochastic partial
differential equation for the density process. At last we show that such
processes also arise from normalizing a class of measure-valued branching
diffusions in a Brownian medium as the classical result that Dawson-Watanabe
superprocesses, conditioned to have total mass one, are Fleming-Viot
superprocesses.

36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci