Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Center of Mass for Spatial Branching Processes and an Application
  for Self-Interaction   In this paper we prove that the center of mass of a supercritical
branching-Brownian motion, or that of a supercritical super-Brownian motion
tends to a limiting position almost surely, which, in a sense complements a
result of Tribe on the final behavior of a critical super-Brownian motion. This
is shown to be true also for a model where branching Brownian motion is
modified by attraction/repulsion between particles.
  We then put this observation together with the description of the interacting
system as viewed from its center of mass, and get the following asymptotic
behavior: the system asymptotically becomes a branching Ornstein Uhlenbeck
process (inward for attraction and outward for repulsion), but the origin is
shifted to a random point which has normal distribution, and the Ornstein
Uhlenbeck particles are not independent but constitute a system with a degree
of freedom which is less by their number by precisely one.

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The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
3
The categories of this paper are: physics