Electronic Journal of Probability

Central Limit Theorem for a Class of Linear Systems

Yukio Nagahata and Nobuo Yoshida

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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

Subjects
Primary: 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43]

Keywords
central limit theorem linear systems binary contact path process diffusive behavior delocalization

Rights
This work is licensed under aCreative Commons Attribution 3.0 License.

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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