Central Limit Theorem for a Class of Linear Systems
Yukio Nagahata, Osaka University
Nobuo Yoshida, Kyoto University
Abstract
We consider a class of interacting particle systems with values
in [0,∞)Zd, of which the binary contact path process
is an example.
For d ≥ 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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