 0888 Nobuo YOSHIDA and Yukio NAGAHATA
 Central Limit Theorem for a Class of Linear Systems
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May 3, 08

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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.
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