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2009 Central Limit Theorem for a Class of Linear Systems
Yukio Nagahata, Nobuo Yoshida
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Electron. J. Probab. 14: 960-977 (2009). DOI: 10.1214/EJP.v14-644


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.


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Yukio Nagahata. Nobuo Yoshida. "Central Limit Theorem for a Class of Linear Systems." Electron. J. Probab. 14 960 - 977, 2009.


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

zbMATH: 1189.60181
MathSciNet: MR2506122
Digital Object Identifier: 10.1214/EJP.v14-644

Primary: 60K35

Keywords: binary contact path process , central limit theorem , delocalization , diffusive behavior , Linear systems

Vol.14 • 2009
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