Nobuo YOSHIDA and Yukio NAGAHATA
Central Limit Theorem for a Class of Linear Systems
(57K, LaTex)

ABSTRACT.  We consider a class of interacting particle systems with values 
in $[0,\infty)^{Z^d}$, of which the binary contact path process 
is an example. 
For $d \ge 3$ and under a certain square integrability condition 
on the total number of the particles, we prove a central limit theorem for the density of the particles, together 
with upper bounds for the density of the most populated site and 
the replica overlap.