## Electronic Journal of Probability

### Central Limit Theorem for a Class of Linear Systems

#### Abstract

We consider a class of interacting particle systems with values in $[0,∞)^{\mathbb{Z}^d}$, of which the binary contact path process is an example. For $d \geq 3$ 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.

#### Article information

Source
Electron. J. Probab., Volume 14 (2009), paper no. 34, 960-977.

Dates
Accepted: 5 May 2009
First available in Project Euclid: 1 June 2016

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1464819495

Digital Object Identifier
doi:10.1214/EJP.v14-644

Mathematical Reviews number (MathSciNet)
MR2506122

Zentralblatt MATH identifier
1189.60181

Rights

#### Citation

Nagahata, Yukio; Yoshida, Nobuo. Central Limit Theorem for a Class of Linear Systems. Electron. J. Probab. 14 (2009), paper no. 34, 960--977. doi:10.1214/EJP.v14-644. https://projecteuclid.org/euclid.ejp/1464819495

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