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Central Limit Theorem for a Class of Linear Systems
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Yukio Nagahata, Osaka University
Nobuo Yoshida, Kyoto University
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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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Full text: PDF
Pages: 960-977
Published on: May 5, 2009
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Electronic Journal of Probability. ISSN: 1083-6489 |
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